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131201113113 = 32724915211163
BaseRepresentation
bin111101000110000110…
…0100001110000011001
3110112122122001010001200
41322030030201300121
54122144441104423
6140134543104413
712323200026600
oct1721414416031
9415578033050
10131201113113
11507076761a4
1221516ba2109
13c4ab998855
1464c8c08a37
15362d51dd43
hex1e8c321c19

131201113113 has 72 divisors (see below), whose sum is σ = 221516863776. Its totient is φ = 74611555200.

The previous prime is 131201113091. The next prime is 131201113229. The reversal of 131201113113 is 311311102131.

It is not a de Polignac number, because 131201113113 - 25 = 131201113081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131201113013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112812070 + ... + 112813232.

It is an arithmetic number, because the mean of its divisors is an integer number (3076623108).

Almost surely, 2131201113113 is an apocalyptic number.

It is an amenable number.

131201113113 is a deficient number, since it is larger than the sum of its proper divisors (90315750663).

131201113113 is a wasteful number, since it uses less digits than its factorization.

131201113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131201113113 its reverse (311311102131), we get a palindrome (442512215244).

The spelling of 131201113113 in words is "one hundred thirty-one billion, two hundred one million, one hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 491 521 1163 1473 1563 3437 3489 3647 4419 4689 8141 10311 10467 10941 24059 24423 25529 30933 32823 56987 72177 73269 76587 170961 216531 229761 255811 512883 571033 605923 767433 1713099 1790677 1817769 2302299 3997231 4241461 5139297 5372031 5453307 11991693 12534739 12724383 16116093 27980617 29690227 35975079 37604217 38173149 83941851 89070681 112812651 251825553 267212043 297508193 892524579 2082557351 2677573737 6247672053 14577901457 18743016159 43733704371 131201113113