3131332162560 has 880 divisors, whose sum is σ = 12852268391424. Its totient is φ = 714151821312.

The previous prime is 3131332162507. The next prime is 3131332162573. The reversal of 3131332162560 is 652612331313.

3131332162560 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 3 + 3 + 21 + 625 + 6 + 0 = 666.

It is a super-2 number, since 2×3131332162560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1762144392 + ... + 1762146168.

Almost surely, 2^{3131332162560} is an apocalyptic number.

3131332162560 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 3131332162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426134195712).

3131332162560 is an abundant number, since it is smaller than the sum of its proper divisors (9720936228864).

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

3131332162560 is a wasteful number, since it uses less digits than its factorization.

3131332162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 3131332162560 its reverse (652612331313), we get a palindrome (3783944493873).

The spelling of 3131332162560 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred sixty-two thousand, five hundred sixty".