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131213122232113 = 2918129385316509
BaseRepresentation
bin11101110101011001101111…
…100010100101111100110001
3122012120212000002111212011001
4131311121233202211330301
5114144243433242411423
61143022250505322001
736431556326431135
oct3565315742457461
9565525002455131
10131213122232113
1138899199865549
1212871b95196301
13582a46266a77c
142458a6b38d3c5
15102824b2cccad
hex77566f8a5f31

131213122232113 has 16 divisors (see below), whose sum is σ = 136953474512400. Its totient is φ = 125558598493440.

The previous prime is 131213122232099. The next prime is 131213122232173. The reversal of 131213122232113 is 311232221312131.

It can be written as a sum of positive squares in 8 ways, for example, as 15379197543424 + 115833924688689 = 3921632^2 + 10762617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131213122232113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131213122232173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41120298 + ... + 44196211.

It is an arithmetic number, because the mean of its divisors is an integer number (8559592157025).

Almost surely, 2131213122232113 is an apocalyptic number.

It is an amenable number.

131213122232113 is a deficient number, since it is larger than the sum of its proper divisors (5740352280287).

131213122232113 is a wasteful number, since it uses less digits than its factorization.

131213122232113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85317012.

The product of its digits is 2592, while the sum is 28.

Adding to 131213122232113 its reverse (311232221312131), we get a palindrome (442445343544244).

The spelling of 131213122232113 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 29 181 293 5249 8497 53033 1537957 85316509 2474178761 15442288129 24997737137 447826355741 724934376973 4524590421797 131213122232113