31313400189120 has 560 divisors, whose sum is σ = 131406207787008. Its totient is φ = 6926465157120.

The previous prime is 31313400189083. The next prime is 31313400189143. The reversal of 31313400189120 is 2198100431313.

31313400189120 is a `hidden beast` number, since 3 + 1 + 313 + 40 + 0 + 189 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2841049 + ... + 8408231.

Almost surely, 2^{31313400189120} is an apocalyptic number.

31313400189120 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 31313400189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65703103893504).

31313400189120 is an abundant number, since it is smaller than the sum of its proper divisors (100092807597888).

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

31313400189120 is a wasteful number, since it uses less digits than its factorization.

31313400189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567250 (or 5567231 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 31313400189120 in words is "thirty-one trillion, three hundred thirteen billion, four hundred million, one hundred eighty-nine thousand, one hundred twenty".