31312100000000 has 324 divisors, whose sum is σ = 78407520402204. Its totient is φ = 12480000000000.

The previous prime is 31312099999997. The next prime is 31312100000009. The reversal of 31312100000000 is 121313.

It can be written as a sum of positive squares in 18 ways, for example, as 2646270013696 + 28665829986304 = 1626736^2 + 5354048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312100000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52099999700 + ... + 52100000300.

Almost surely, 2^{31312100000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39203760201102).

31312100000000 is an abundant number, since it is smaller than the sum of its proper divisors (47095420402204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31312100000000 is an frugal number, since it uses more digits than its factorization.

31312100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31312100000000 its reverse (121313), we get a palindrome (31312100121313).

The spelling of 31312100000000 in words is "thirty-one trillion, three hundred twelve billion, one hundred million", and thus it is an aban number.