100113123001131 has 48 divisors (see below), whose sum is σ = 149735260280320. Its totient is φ = 64415858109120.

The previous prime is 100113123001121. The next prime is 100113123001163. The reversal of 100113123001131 is 131100321311001.

100113123001131 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 312 + 300 + 11 + 31 = 666.

It is not a de Polignac number, because 100113123001131 - 2¹⁴ = 100113122984747 is a prime.

It is a super-2 number, since 2×100113123001131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113123001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12247776 + ... + 18714546.

Almost surely, 2^{100113123001131} is an apocalyptic number.

100113123001131 is a deficient number, since it is larger than the sum of its proper divisors (49622137279189).

100113123001131 is a wasteful number, since it uses less digits than its factorization.

100113123001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467296 (or 6467293 counting only the distinct ones).

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

Adding to 100113123001131 its reverse (131100321311001), we get a palindrome (231213444312132).

The spelling of 100113123001131 in words is "one hundred trillion, one hundred thirteen billion, one hundred twenty-three million, one thousand, one hundred thirty-one".