1313337361600 has 168 divisors, whose sum is σ = 3526806363696. Its totient is φ = 477388800000.

The previous prime is 1313337361561. The next prime is 1313337361711. The reversal of 1313337361600 is 61637333131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313337361600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49284280 + ... + 49310920.

It is an arithmetic number, because the mean of its divisors is an integer number (20992895022).

Almost surely, 2^{1313337361600} is an apocalyptic number.

1313337361600 is a gapful number since it is divisible by the number (10) 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 1313337361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763403181848).

1313337361600 is an abundant number, since it is smaller than the sum of its proper divisors (2213469002096).

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

1313337361600 is a wasteful number, since it uses less digits than its factorization.

1313337361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29475 (or 29460 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 37.

The spelling of 1313337361600 in words is "one trillion, three hundred thirteen billion, three hundred thirty-seven million, three hundred sixty-one thousand, six hundred".