100053351131 has 16 divisors (see below), whose sum is σ = 113342700960. Its totient is φ = 87749153280.

The previous prime is 100053351071. The next prime is 100053351137. The reversal of 100053351131 is 131153350001.

It is a cyclic number.

It is not a de Polignac number, because 100053351131 - 2¹⁸ = 100053088987 is a prime.

It is a super-2 number, since 2×100053351131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100053351097 and 100053351106.

It is not an unprimeable number, because it can be changed into a prime (100053351137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2519336 + ... + 2558741.

It is an arithmetic number, because the mean of its divisors is an integer number (7083918810).

Almost surely, 2^100053351131 is an apocalyptic number.

100053351131 is a deficient number, since it is larger than the sum of its proper divisors (13289349829).

100053351131 is a wasteful number, since it uses less digits than its factorization.

100053351131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078174.

The product of its (nonzero) digits is 675, while the sum is 23.

The spelling of 100053351131 in words is "one hundred billion, fifty-three million, three hundred fifty-one thousand, one hundred thirty-one".