100312321131 has 32 divisors (see below), whose sum is σ = 170653612800. Its totient is φ = 57595587840.

The previous prime is 100312321129. The next prime is 100312321157. The reversal of 100312321131 is 131123213001.

100312321131 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 321 + 1 + 31 = 666.

It is not a de Polignac number, because 100312321131 - 2¹ = 100312321129 is a prime.

It is a super-2 number, since 2×100312321131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100312321171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8882566 + ... + 8893851.

It is an arithmetic number, because the mean of its divisors is an integer number (5332925400).

Almost surely, 2^100312321131 is an apocalyptic number.

100312321131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100312321131 is a deficient number, since it is larger than the sum of its proper divisors (70341291669).

100312321131 is a wasteful number, since it uses less digits than its factorization.

100312321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17776456 (or 17776450 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100312321131 its reverse (131123213001), we get a palindrome (231435534132).

The spelling of 100312321131 in words is "one hundred billion, three hundred twelve million, three hundred twenty-one thousand, one hundred thirty-one".