31312312000 has 112 divisors (see below), whose sum is σ = 77695214688. Its totient is φ = 12500659200.

The previous prime is 31312311971. The next prime is 31312312021. The reversal of 31312312000 is 21321313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4452487 + ... + 4459513.

It is an arithmetic number, because the mean of its divisors is an integer number (693707274).

Almost surely, 2^31312312000 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 31312312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38847607344).

31312312000 is an abundant number, since it is smaller than the sum of its proper divisors (46382902688).

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

31312312000 is an equidigital number, since it uses as much as digits as its factorization.

31312312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31312312000 its reverse (21321313), we get a palindrome (31333633313).

The spelling of 31312312000 in words is "thirty-one billion, three hundred twelve million, three hundred twelve thousand".