31513320960 has 640 divisors, whose sum is σ = 119853043200. Its totient is φ = 6977617920.

The previous prime is 31513320913. The next prime is 31513320973. The reversal of 31513320960 is 6902331513.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46548142 + ... + 46548818.

It is an arithmetic number, because the mean of its divisors is an integer number (187270380).

Almost surely, 2^31513320960 is an apocalyptic number.

31513320960 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 31513320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59926521600).

31513320960 is an abundant number, since it is smaller than the sum of its proper divisors (88339722240).

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

31513320960 is a wasteful number, since it uses less digits than its factorization.

31513320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 31513320960 in words is "thirty-one billion, five hundred thirteen million, three hundred twenty thousand, nine hundred sixty".