100012131013113 has 24 divisors (see below), whose sum is σ = 157632016095840. Its totient is φ = 60599126972160.

The previous prime is 100012131013079. The next prime is 100012131013117. The reversal of 100012131013113 is 311310131210001.

100012131013113 is a `hidden beast` number, since 100 + 0 + 121 + 310 + 131 + 1 + 3 = 666.

It is not a de Polignac number, because 100012131013113 - 2³⁰ = 100011057271289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012131013117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118625848 + ... + 119465961.

It is an arithmetic number, because the mean of its divisors is an integer number (6568000670660).

Almost surely, 2^{100012131013113} is an apocalyptic number.

It is an amenable number.

100012131013113 is a deficient number, since it is larger than the sum of its proper divisors (57619885082727).

100012131013113 is a wasteful number, since it uses less digits than its factorization.

100012131013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238096069 (or 238096066 counting only the distinct ones).

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

Adding to 100012131013113 its reverse (311310131210001), we get a palindrome (411322262223114).

The spelling of 100012131013113 in words is "one hundred trillion, twelve billion, one hundred thirty-one million, thirteen thousand, one hundred thirteen".