31313000000 has 196 divisors, whose sum is σ = 78550478916. Its totient is φ = 12384000000.

The previous prime is 31312999981. The next prime is 31313000051. The reversal of 31313000000 is 31313.

It can be written as a sum of positive squares in 14 ways, for example, as 23426139136 + 7886860864 = 153056^2 + 88808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 172999910 + ... + 173000090.

Almost surely, 2^31313000000 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 31313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39275239458).

31313000000 is an abundant number, since it is smaller than the sum of its proper divisors (47237478916).

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

31313000000 is an frugal number, since it uses more digits than its factorization.

31313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 31313000000 its reverse (31313), we get a palindrome (31313031313).

Multiplying 31313000000 by its reverse (31313), we get a square (980503969000000 = 31313000²).

31313000000 divided by its reverse (31313) gives a 6-th power (1000000 = 10⁶).

The spelling of 31313000000 in words is "thirty-one billion, three hundred thirteen million", and thus it is an aban number.