3131237191680 has 2184 divisors, whose sum is σ = 13093738186968. Its totient is φ = 715489542144.

The previous prime is 3131237191597. The next prime is 3131237191699. The reversal of 3131237191680 is 861917321313.

3131237191680 is a `hidden beast` number, since 3 + 131 + 2 + 371 + 91 + 68 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1215426871296 + 1915810320384 = 1102464^2 + 1384128^2 .

It is a super-2 number, since 2×3131237191680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 42893660124 + ... + 42893660196.

Almost surely, 2^{3131237191680} is an apocalyptic number.

3131237191680 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 3131237191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546869093484).

3131237191680 is an abundant number, since it is smaller than the sum of its proper divisors (9962500995288).

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

3131237191680 is an equidigital number, since it uses as much as digits as its factorization.

3131237191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3131237191680 in words is "three trillion, one hundred thirty-one billion, two hundred thirty-seven million, one hundred ninety-one thousand, six hundred eighty".