100133013030131 has 16 divisors (see below), whose sum is σ = 105390642188160. Its totient is φ = 95011606840320.

The previous prime is 100133013030121. The next prime is 100133013030179. The reversal of 100133013030131 is 131030310331001.

It is a cyclic number.

It is not a de Polignac number, because 100133013030131 - 2³⁰ = 100131939288307 is a prime.

It is a super-2 number, since 2×100133013030131² (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 (100133013030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9775286 + ... + 17199483.

It is an arithmetic number, because the mean of its divisors is an integer number (6586915136760).

Almost surely, 2^{100133013030131} is an apocalyptic number.

100133013030131 is a deficient number, since it is larger than the sum of its proper divisors (5257629158029).

100133013030131 is a wasteful number, since it uses less digits than its factorization.

100133013030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26977294.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 100133013030131 its reverse (131030310331001), we get a palindrome (231163323361132).

The spelling of 100133013030131 in words is "one hundred trillion, one hundred thirty-three billion, thirteen million, thirty thousand, one hundred thirty-one".