100202321331131 has 16 divisors (see below), whose sum is σ = 107353657680000. Its totient is φ = 93246765435648.

The previous prime is 100202321331103. The next prime is 100202321331139. The reversal of 100202321331131 is 131133123202001.

It is a cyclic number.

It is not a de Polignac number, because 100202321331131 - 2⁶ = 100202321331067 is a prime.

It is a super-2 number, since 2×100202321331131² (a number of 29 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 = 100202321331097 and 100202321331106.

It is not an unprimeable number, because it can be changed into a prime (100202321331139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111042881 + ... + 111941618.

It is an arithmetic number, because the mean of its divisors is an integer number (6709603605000).

Almost surely, 2^{100202321331131} is an apocalyptic number.

100202321331131 is a deficient number, since it is larger than the sum of its proper divisors (7151336348869).

100202321331131 is a wasteful number, since it uses less digits than its factorization.

100202321331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222984938.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100202321331131 its reverse (131133123202001), we get a palindrome (231335444533132).

The spelling of 100202321331131 in words is "one hundred trillion, two hundred two billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty-one".