10133031102131 has 16 divisors (see below), whose sum is σ = 11898588094464. Its totient is φ = 8447166432864.

The previous prime is 10133031102101. The next prime is 10133031102169. The reversal of 10133031102131 is 13120113033101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10133031102131 is a prime.

It is a super-2 number, since 2×10133031102131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133031102101) 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, 7591715 + ... + 8826108.

It is an arithmetic number, because the mean of its divisors is an integer number (743661755904).

Almost surely, 2^{10133031102131} is an apocalyptic number.

10133031102131 is a deficient number, since it is larger than the sum of its proper divisors (1765556992333).

10133031102131 is a wasteful number, since it uses less digits than its factorization.

10133031102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420250.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10133031102131 its reverse (13120113033101), we get a palindrome (23253144135232).

The spelling of 10133031102131 in words is "ten trillion, one hundred thirty-three billion, thirty-one million, one hundred two thousand, one hundred thirty-one".