100012133110131 has 32 divisors (see below), whose sum is σ = 162232212771840. Its totient is φ = 60389748223200.

The previous prime is 100012133110069. The next prime is 100012133110181. The reversal of 100012133110131 is 131011331210001.

100012133110131 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 213 + 311 + 0 + 131 = 666.

It is not a de Polignac number, because 100012133110131 - 2³¹ = 100009985626483 is a prime.

It is a super-2 number, since 2×100012133110131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100012133110181) 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, 621213220 + ... + 621374193.

It is an arithmetic number, because the mean of its divisors is an integer number (5069756649120).

Almost surely, 2^{100012133110131} is an apocalyptic number.

100012133110131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012133110131 is a deficient number, since it is larger than the sum of its proper divisors (62220079661709).

100012133110131 is a wasteful number, since it uses less digits than its factorization.

100012133110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242587704 (or 1242587698 counting only the distinct ones).

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

Adding to 100012133110131 its reverse (131011331210001), we get a palindrome (231023464320132).

The spelling of 100012133110131 in words is "one hundred trillion, twelve billion, one hundred thirty-three million, one hundred ten thousand, one hundred thirty-one".