31100123210013 has 72 divisors (see below), whose sum is σ = 53407998822360. Its totient is φ = 17322691795200.

The previous prime is 31100123209957. The next prime is 31100123210041. The reversal of 31100123210013 is 31001232100113.

It can be written as a sum of positive squares in 4 ways, for example, as 12154413197124 + 18945710012889 = 3486318^2 + 4352667^2 .

It is not a de Polignac number, because 31100123210013 - 2¹⁰ = 31100123208989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100123210813) 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 71 ways as a sum of consecutive naturals, for example, 1554558 + ... + 8038463.

Almost surely, 2^{31100123210013} is an apocalyptic number.

31100123210013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31100123210013 is a deficient number, since it is larger than the sum of its proper divisors (22307875612347).

31100123210013 is a wasteful number, since it uses less digits than its factorization.

31100123210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593291 (or 9593277 counting only the distinct ones).

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

Adding to 31100123210013 its reverse (31001232100113), we get a palindrome (62101355310126).

The spelling of 31100123210013 in words is "thirty-one trillion, one hundred billion, one hundred twenty-three million, two hundred ten thousand, thirteen".