3131012520 has 144 divisors (see below), whose sum is σ = 10459891260. Its totient is φ = 812242944.

The previous prime is 3131012513. The next prime is 3131012593. The reversal of 3131012520 is 252101313.

3131012520 is a `hidden beast` number, since 3 + 131 + 0 + 12 + 520 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2606510916 + 524501604 = 51054^2 + 22902^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3131012493 and 3131012502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489664 + ... + 496016.

Almost surely, 2^3131012520 is an apocalyptic number.

3131012520 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 3131012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229945630).

3131012520 is an abundant number, since it is smaller than the sum of its proper divisors (7328878740).

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

3131012520 is a wasteful number, since it uses less digits than its factorization.

3131012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3131012520 is about 55955.4512089752. The cubic root of 3131012520 is about 1462.9459065481.

Adding to 3131012520 its reverse (252101313), we get a palindrome (3383113833).

The spelling of 3131012520 in words is "three billion, one hundred thirty-one million, twelve thousand, five hundred twenty".