31001313120 has 192 divisors, whose sum is σ = 98394912000. Its totient is φ = 8204617728.

The previous prime is 31001313097. The next prime is 31001313131. The reversal of 31001313120 is 2131310013.

It is a super-2 number, since 2×31001313120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31001313120.

It is a congruent number.

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, 62126631 + ... + 62127129.

It is an arithmetic number, because the mean of its divisors is an integer number (512473500).

Almost surely, 2^31001313120 is an apocalyptic number.

31001313120 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 31001313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197456000).

31001313120 is an abundant number, since it is smaller than the sum of its proper divisors (67393598880).

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

31001313120 is a wasteful number, since it uses less digits than its factorization.

31001313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31001313120 its reverse (2131310013), we get a palindrome (33132623133).

The spelling of 31001313120 in words is "thirty-one billion, one million, three hundred thirteen thousand, one hundred twenty".