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131231113112113 = 7174129639077669
BaseRepresentation
bin11101110101101010011111…
…111000010110101000110001
3122012122120102220112020212221
4131311222133320112220301
5114200042304424041423
61143034424024321041
736433064214410260
oct3565523770265061
9565576386466787
10131231113112113
11388a5891188a13
1212875576313181
13582c06ba26bb1
1424598968c45d7
151028950983e5d
hex775a9fe16a31

131231113112113 has 32 divisors (see below), whose sum is σ = 162728781546240. Its totient is φ = 103250122045440.

The previous prime is 131231113112087. The next prime is 131231113112131. The reversal of 131231113112113 is 311211311132131.

It is a cyclic number.

It is not a de Polignac number, because 131231113112113 - 233 = 131222523177521 is a prime.

It is a super-2 number, since 2×1312311131121132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131231113112213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9917643 + ... + 18995311.

It is an arithmetic number, because the mean of its divisors is an integer number (5085274423320).

Almost surely, 2131231113112113 is an apocalyptic number.

It is an amenable number.

131231113112113 is a deficient number, since it is larger than the sum of its proper divisors (31497668434127).

131231113112113 is a wasteful number, since it uses less digits than its factorization.

131231113112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080697.

The product of its digits is 324, while the sum is 25.

Adding to 131231113112113 its reverse (311211311132131), we get a palindrome (442442424244244).

The spelling of 131231113112113 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, one hundred thirteen million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 7 17 41 119 287 697 2963 4879 20741 50371 121483 352597 850381 2065211 9077669 14456477 63543683 154320373 372184429 1080242611 2605291003 6327135293 26897133247 44289947051 188279932729 457251265199 1102782463127 3200758856393 7719477241889 18747301873159 131231113112113