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131013230330301 = 311192432437104947
BaseRepresentation
bin11101110010011111100101…
…000011100000000110111101
3122011212202001021122010111020
4131302133211003200012331
5114133010043431032201
61142350351440214353
736411251660335164
oct3562374503400675
9564782037563436
10131013230330301
11388214430170a0
121283b2a990a3b9
135814657869127
14244d1077aa3db
151022e4c5aca36
hex7727e50e01bd

131013230330301 has 96 divisors (see below), whose sum is σ = 205885972182528. Its totient is φ = 73442688439680.

The previous prime is 131013230330299. The next prime is 131013230330351. The reversal of 131013230330301 is 103033032310131.

It is not a de Polignac number, because 131013230330301 - 21 = 131013230330299 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013230330351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1248322710 + ... + 1248427656.

It is an arithmetic number, because the mean of its divisors is an integer number (2144645543568).

Almost surely, 2131013230330301 is an apocalyptic number.

131013230330301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131013230330301 is a deficient number, since it is larger than the sum of its proper divisors (74872741852227).

131013230330301 is a wasteful number, since it uses less digits than its factorization.

131013230330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107479 (or 107460 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131013230330301 its reverse (103033032310131), we get a palindrome (234046262640432).

The spelling of 131013230330301 in words is "one hundred thirty-one trillion, thirteen billion, two hundred thirty million, three hundred thirty thousand, three hundred one".

Divisors: 1 3 11 19 33 43 57 129 209 361 473 627 817 1083 1419 2437 2451 3971 7311 8987 11913 15523 26807 26961 46303 46569 80421 104791 104947 138909 170753 314373 314841 509333 512259 879757 1152701 1154417 1527999 1991029 1993993 2639271 3458103 3463251 4512721 5973087 5981979 9677327 13538163 21901319 21933923 29031981 37829551 37885867 49639931 65703957 65801769 85741699 113488653 113657601 148919793 255755839 257225097 416125061 416744537 767267517 943158689 1248375183 1250233611 1629092281 2813314229 2829476067 4859360941 4887276843 8439942687 10997501077 14578082823 17920015091 32992503231 53452970351 53760045273 92327857879 120972511847 160358911053 208952520463 276983573637 362917535541 626857561389 1015606436669 2298477725093 3046819310007 3970097888797 6895433175279 11910293666391 43671076776767 131013230330301