100131032331 has 96 divisors (see below), whose sum is σ = 169069271040. Its totient is φ = 58025721600.

The previous prime is 100131032317. The next prime is 100131032347. The reversal of 100131032331 is 133230131001.

It is a happy number.

100131032331 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 310 + 323 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100131032331 is a prime.

It is a super-2 number, since 2×100131032331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100131032311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72927961 + ... + 72929333.

It is an arithmetic number, because the mean of its divisors is an integer number (1761138240).

Almost surely, 2^100131032331 is an apocalyptic number.

100131032331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100131032331 is a deficient number, since it is larger than the sum of its proper divisors (68938238709).

100131032331 is a wasteful number, since it uses less digits than its factorization.

100131032331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100131032331 its reverse (133230131001), we get a palindrome (233361163332).

The spelling of 100131032331 in words is "one hundred billion, one hundred thirty-one million, thirty-two thousand, three hundred thirty-one".