100431331 has 36 divisors (see below), whose sum is σ = 138398736. Its totient is φ = 72182880.

The previous prime is 100431313. The next prime is 100431337. The reversal of 100431331 is 133134001.

It is a de Polignac number, because none of the positive numbers 2^k-100431331 is a prime.

It is a super-2 number, since 2×100431331² = 20172904492863122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100431337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76426 + ... + 77728.

Almost surely, 2^100431331 is an apocalyptic number.

100431331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100431331 is a deficient number, since it is larger than the sum of its proper divisors (37967405).

100431331 is a wasteful number, since it uses less digits than its factorization.

100431331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100431331 is about 10021.5433442160. The cubic root of 100431331 is about 464.8252798705.

Adding to 100431331 its reverse (133134001), we get a palindrome (233565332).

The spelling of 100431331 in words is "one hundred million, four hundred thirty-one thousand, three hundred thirty-one".