100032131 has 16 divisors (see below), whose sum is σ = 113340960. Its totient is φ = 87713280.

The previous prime is 100032103. The next prime is 100032137. The reversal of 100032131 is 131230001.

It is a cyclic number.

It is not a de Polignac number, because 100032131 - 2⁶ = 100032067 is a prime.

It is a super-2 number, since 2×100032131² = 20012854464802322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100032137) 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, 17165 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (7083810).

Almost surely, 2^100032131 is an apocalyptic number.

100032131 is a deficient number, since it is larger than the sum of its proper divisors (13308829).

100032131 is a wasteful number, since it uses less digits than its factorization.

100032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100032131 is about 10001.6064209706. The cubic root of 100032131 is about 464.2085910014.

Adding to 100032131 its reverse (131230001), we get a palindrome (231262132).

The spelling of 100032131 in words is "one hundred million, thirty-two thousand, one hundred thirty-one".