31307130961920 has 1536 divisors, whose sum is σ = 127721654323200. Its totient is φ = 7256769822720.

The previous prime is 31307130961871. The next prime is 31307130961957. The reversal of 31307130961920 is 2916903170313.

31307130961920 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 7 + 1 + 3 + 0 + 9 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 12311100169 + ... + 12311102711.

It is an arithmetic number, because the mean of its divisors is an integer number (83152118700).

Almost surely, 2^{31307130961920} is an apocalyptic number.

31307130961920 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 31307130961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63860827161600).

31307130961920 is an abundant number, since it is smaller than the sum of its proper divisors (96414523361280).

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

31307130961920 is a wasteful number, since it uses less digits than its factorization.

31307130961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 31307130961920 in words is "thirty-one trillion, three hundred seven billion, one hundred thirty million, nine hundred sixty-one thousand, nine hundred twenty".