100133002032131 has 12 divisors (see below), whose sum is σ = 103708128942912. Its totient is φ = 96677156134944.

The previous prime is 100133002032113. The next prime is 100133002032143. The reversal of 100133002032131 is 131230200331001.

It is not a de Polignac number, because 100133002032131 - 2³⁰ = 100131928290307 is a prime.

It is a super-2 number, since 2×100133002032131² (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 (100133002032731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25673870 + ... + 29315756.

It is an arithmetic number, because the mean of its divisors is an integer number (8642344078576).

Almost surely, 2^{100133002032131} is an apocalyptic number.

100133002032131 is a deficient number, since it is larger than the sum of its proper divisors (3575126910781).

100133002032131 is an equidigital number, since it uses as much as digits as its factorization.

100133002032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674638 (or 3674609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100133002032131 its reverse (131230200331001), we get a palindrome (231363202363132).

The spelling of 100133002032131 in words is "one hundred trillion, one hundred thirty-three billion, two million, thirty-two thousand, one hundred thirty-one".