3131331320 has 128 divisors (see below), whose sum is σ = 8383616640. Its totient is φ = 1040793600.

The previous prime is 3131331283. The next prime is 3131331323. The reversal of 3131331320 is 231331313.

3131331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3131331320² = 19610471671225884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3131331292 and 3131331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131331323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195620 + ... + 211020.

It is an arithmetic number, because the mean of its divisors is an integer number (65497005).

Almost surely, 2^3131331320 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 3131331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191808320).

3131331320 is an abundant number, since it is smaller than the sum of its proper divisors (5252285320).

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

3131331320 is a wasteful number, since it uses less digits than its factorization.

3131331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15465 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 3131331320 is about 55958.2998312136. The cubic root of 3131331320 is about 1462.9955572946.

Adding to 3131331320 its reverse (231331313), we get a palindrome (3362662633).

The spelling of 3131331320 in words is "three billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty".