100312022031 has 32 divisors (see below), whose sum is σ = 145446174720. Its totient is φ = 61127374464.

The previous prime is 100312022023. The next prime is 100312022059. The reversal of 100312022031 is 130220213001.

It is not a de Polignac number, because 100312022031 - 2³ = 100312022023 is a prime.

It is a super-3 number, since 3×100312022031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100312022031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14948505 + ... + 14955213.

It is an arithmetic number, because the mean of its divisors is an integer number (4545192960).

Almost surely, 2^100312022031 is an apocalyptic number.

100312022031 is a deficient number, since it is larger than the sum of its proper divisors (45134152689).

100312022031 is a wasteful number, since it uses less digits than its factorization.

100312022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100312022031 its reverse (130220213001), we get a palindrome (230532235032).

The spelling of 100312022031 in words is "one hundred billion, three hundred twelve million, twenty-two thousand, thirty-one".