100033131 has 16 divisors (see below), whose sum is σ = 145716480. Its totient is φ = 60537120.

The previous prime is 100033111. The next prime is 100033133. The reversal of 100033131 is 131330001.

It is not a de Polignac number, because 100033131 - 2⁵ = 100033099 is a prime.

It is a super-2 number, since 2×100033131² = 20013254595326322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100033133) 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, 25881 + ... + 29493.

It is an arithmetic number, because the mean of its divisors is an integer number (9107280).

Almost surely, 2^100033131 is an apocalyptic number.

100033131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100033131 is a deficient number, since it is larger than the sum of its proper divisors (45683349).

100033131 is a wasteful number, since it uses less digits than its factorization.

100033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 100033131 is about 10001.6564128148. The cubic root of 100033131 is about 464.2101378612.

Adding to 100033131 its reverse (131330001), we get a palindrome (231363132).

The spelling of 100033131 in words is "one hundred million, thirty-three thousand, one hundred thirty-one".