100312131033 has 12 divisors (see below), whose sum is σ = 144899167140. Its totient is φ = 66872969376.

The previous prime is 100312131019. The next prime is 100312131043. The reversal of 100312131033 is 330131213001.

It is a happy number.

100312131033 is a `hidden beast` number, since 10 + 0 + 312 + 1 + 310 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36681059529 + 63631071504 = 191523^2 + 252252^2 .

It is not a de Polignac number, because 100312131033 - 2⁶ = 100312130969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100312130997 and 100312131015.

It is not an unprimeable number, because it can be changed into a prime (100312131043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269023 + ... + 522491.

It is an arithmetic number, because the mean of its divisors is an integer number (12074930595).

Almost surely, 2^100312131033 is an apocalyptic number.

It is an amenable number.

100312131033 is a deficient number, since it is larger than the sum of its proper divisors (44587036107).

100312131033 is a wasteful number, since it uses less digits than its factorization.

100312131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297448 (or 297445 counting only the distinct ones).

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

Adding to 100312131033 its reverse (330131213001), we get a palindrome (430443344034).

The spelling of 100312131033 in words is "one hundred billion, three hundred twelve million, one hundred thirty-one thousand, thirty-three".