31113312331320 has 512 divisors, whose sum is σ = 109530102528000. Its totient is φ = 7834286407680.

The previous prime is 31113312331307. The next prime is 31113312331399. The reversal of 31113312331320 is 2313321331113.

31113312331320 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 3 + 3 + 1 + 2 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13688213704 + ... + 13688215976.

It is an arithmetic number, because the mean of its divisors is an integer number (213925981500).

Almost surely, 2^{31113312331320} is an apocalyptic number.

31113312331320 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 31113312331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54765051264000).

31113312331320 is an abundant number, since it is smaller than the sum of its proper divisors (78416790196680).

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

31113312331320 is a wasteful number, since it uses less digits than its factorization.

31113312331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31113312331320 its reverse (2313321331113), we get a palindrome (33426633662433).

The spelling of 31113312331320 in words is "thirty-one trillion, one hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, three hundred twenty".