3131108897280 has 2560 divisors, whose sum is σ = 13779918028800. Its totient is φ = 588002623488.

The previous prime is 3131108897243. The next prime is 3131108897297. The reversal of 3131108897280 is 827988011313.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18098895274 + ... + 18098895446.

It is an arithmetic number, because the mean of its divisors is an integer number (5382780480).

Almost surely, 2^{3131108897280} is an apocalyptic number.

3131108897280 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 3131108897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889959014400).

3131108897280 is an abundant number, since it is smaller than the sum of its proper divisors (10648809131520).

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

3131108897280 is a wasteful number, since it uses less digits than its factorization.

3131108897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 3131108897280 in words is "three trillion, one hundred thirty-one billion, one hundred eight million, eight hundred ninety-seven thousand, two hundred eighty".