31130882845920 has 1152 divisors, whose sum is σ = 129474292147200. Its totient is φ = 6939464970240.

The previous prime is 31130882845903. The next prime is 31130882845927. The reversal of 31130882845920 is 2954828803113.

31130882845920 is a `hidden beast` number, since 3 + 1 + 1 + 308 + 8 + 284 + 59 + 2 + 0 = 666.

It is a super-2 number, since 2×31130882845920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130882845927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1787170971 + ... + 1787188389.

It is an arithmetic number, because the mean of its divisors is an integer number (112390878600).

Almost surely, 2^{31130882845920} is an apocalyptic number.

31130882845920 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 31130882845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64737146073600).

31130882845920 is an abundant number, since it is smaller than the sum of its proper divisors (98343409301280).

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

31130882845920 is a wasteful number, since it uses less digits than its factorization.

31130882845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17741 (or 17716 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 31130882845920 in words is "thirty-one trillion, one hundred thirty billion, eight hundred eighty-two million, eight hundred forty-five thousand, nine hundred twenty".