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131330203301 = 1123121676763
BaseRepresentation
bin111101001001111100…
…0111101111010100101
3110112222121221120111202
41322103320331322211
54122431013001201
6140155434012245
712326325211043
oct1722370757245
9415877846452
10131330203301
1150773526600
1221552277085
13c4cc65618b
1464dc00d393
153639a1cc6b
hex1e93e3dea5

131330203301 has 36 divisors (see below), whose sum is σ = 150076872288. Its totient is φ = 114830931600.

The previous prime is 131330203289. The next prime is 131330203307. The reversal of 131330203301 is 103302033131.

It is not a de Polignac number, because 131330203301 - 214 = 131330186917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330203307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19415546 + ... + 19422308.

It is an arithmetic number, because the mean of its divisors is an integer number (4168802008).

Almost surely, 2131330203301 is an apocalyptic number.

131330203301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131330203301 is a deficient number, since it is larger than the sum of its proper divisors (18746668987).

131330203301 is a wasteful number, since it uses less digits than its factorization.

131330203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131330203301 its reverse (103302033131), we get a palindrome (234632236432).

The spelling of 131330203301 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred three thousand, three hundred one".

Divisors: 1 11 31 121 167 341 961 1837 3751 5177 6763 10571 20207 56947 74393 116281 160487 209653 626417 818323 1129421 1765357 2306183 6499243 12423631 19418927 25368013 35012051 71491673 136659941 385132561 786408403 1085373581 4236458171 11939109391 131330203301