100645310526131 has 16 divisors (see below), whose sum is σ = 116220754679040. Its totient is φ = 85370115256800.

The previous prime is 100645310526109. The next prime is 100645310526209. The reversal of 100645310526131 is 131625013546001.

It is a cyclic number.

It is not a de Polignac number, because 100645310526131 - 2³⁸ = 100370432619187 is a prime.

It is a super-2 number, since 2×100645310526131² (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 (100645310529131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34567361 + ... + 37365666.

It is an arithmetic number, because the mean of its divisors is an integer number (7263797167440).

Almost surely, 2^{100645310526131} is an apocalyptic number.

100645310526131 is a deficient number, since it is larger than the sum of its proper divisors (15575444152909).

100645310526131 is a wasteful number, since it uses less digits than its factorization.

100645310526131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71935114.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 100645310526131 in words is "one hundred trillion, six hundred forty-five billion, three hundred ten million, five hundred twenty-six thousand, one hundred thirty-one".