31331412000 has 576 divisors, whose sum is σ = 128442682368. Its totient is φ = 7084800000.

The previous prime is 31331411999. The next prime is 31331412037. The reversal of 31331412000 is 21413313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25451385 + ... + 25452615.

It is an arithmetic number, because the mean of its divisors is an integer number (222990768).

Almost surely, 2^31331412000 is an apocalyptic number.

31331412000 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 31331412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64221341184).

31331412000 is an abundant number, since it is smaller than the sum of its proper divisors (97111270368).

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

31331412000 is a wasteful number, since it uses less digits than its factorization.

31331412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31331412000 its reverse (21413313), we get a palindrome (31352825313).

The spelling of 31331412000 in words is "thirty-one billion, three hundred thirty-one million, four hundred twelve thousand".