100132112031 has 16 divisors (see below), whose sum is σ = 154513689600. Its totient is φ = 56494065888.

The previous prime is 100132112023. The next prime is 100132112039. The reversal of 100132112031 is 130211231001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100132112023) and next prime (100132112039).

It is not a de Polignac number, because 100132112031 - 2³ = 100132112023 is a prime.

It is a super-2 number, since 2×100132112031² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100132112031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132112039) 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, 30176796 + ... + 30180113.

It is an arithmetic number, because the mean of its divisors is an integer number (9657105600).

Almost surely, 2^100132112031 is an apocalyptic number.

100132112031 is a deficient number, since it is larger than the sum of its proper divisors (54381577569).

100132112031 is an equidigital number, since it uses as much as digits as its factorization.

100132112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60356998.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100132112031 its reverse (130211231001), we get a palindrome (230343343032).

The spelling of 100132112031 in words is "one hundred billion, one hundred thirty-two million, one hundred twelve thousand, thirty-one".