1310319553608 has 192 divisors, whose sum is σ = 4029033153600. Its totient is φ = 381374231040.

The previous prime is 1310319553547. The next prime is 1310319553643. The reversal of 1310319553608 is 8063559130131.

1310319553608 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 31 + 9 + 5 + 5 + 3 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11699491 + ... + 11810957.

It is an arithmetic number, because the mean of its divisors is an integer number (20984547675).

Almost surely, 2^{1310319553608} is an apocalyptic number.

1310319553608 is a gapful number since it is divisible by the number (18) 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 1310319553608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014516576800).

1310319553608 is an abundant number, since it is smaller than the sum of its proper divisors (2718713599992).

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

1310319553608 is a wasteful number, since it uses less digits than its factorization.

1310319553608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112172 (or 112165 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1310319553608 in words is "one trillion, three hundred ten billion, three hundred nineteen million, five hundred fifty-three thousand, six hundred eight".