31145345153320 has 128 divisors (see below), whose sum is σ = 76750023312000. Its totient is φ = 11329594536960.

The previous prime is 31145345153311. The next prime is 31145345153357. The reversal of 31145345153320 is 2335154354113.

It is a super-2 number, since 2×31145345153320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271266 + ... + 7897105.

It is an arithmetic number, because the mean of its divisors is an integer number (599609557125).

Almost surely, 2^{31145345153320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31145345153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38375011656000).

31145345153320 is an abundant number, since it is smaller than the sum of its proper divisors (45604678158680).

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

31145345153320 is a wasteful number, since it uses less digits than its factorization.

31145345153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168603 (or 8168599 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 31145345153320 in words is "thirty-one trillion, one hundred forty-five billion, three hundred forty-five million, one hundred fifty-three thousand, three hundred twenty".