31112000000 has 140 divisors (see below), whose sum is σ = 77723028570. Its totient is φ = 12441600000.

The previous prime is 31111999987. The next prime is 31112000021. The reversal of 31112000000 is 21113.

It can be written as a sum of positive squares in 7 ways, for example, as 12966832384 + 18145167616 = 113872^2 + 134704^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 7998056 + ... + 8001944.

Almost surely, 2^31112000000 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 31112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38861514285).

31112000000 is an abundant number, since it is smaller than the sum of its proper divisors (46611028570).

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

31112000000 is an frugal number, since it uses more digits than its factorization.

31112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 31112000000 its reverse (21113), we get a palindrome (31112021113).

The spelling of 31112000000 in words is "thirty-one billion, one hundred twelve million", and thus it is an aban number.