31312008000 has 1568 divisors, whose sum is σ = 145518347520. Its totient is φ = 6494515200.

The previous prime is 31312007983. The next prime is 31312008029. The reversal of 31312008000 is 80021313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 530711971 + ... + 530712029.

Almost surely, 2^31312008000 is an apocalyptic number.

31312008000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72759173760).

31312008000 is an abundant number, since it is smaller than the sum of its proper divisors (114206339520).

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

31312008000 is an equidigital number, since it uses as much as digits as its factorization.

31312008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31312008000 its reverse (80021313), we get a palindrome (31392029313).

The spelling of 31312008000 in words is "thirty-one billion, three hundred twelve million, eight thousand".