13313557133760 has 448 divisors, whose sum is σ = 48260647378944. Its totient is φ = 3085749043200.

The previous prime is 13313557133641. The next prime is 13313557133803. The reversal of 13313557133760 is 6733175531331.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13849525 + ... + 14779595.

It is an arithmetic number, because the mean of its divisors is an integer number (107724659328).

Almost surely, 2^{13313557133760} is an apocalyptic number.

13313557133760 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 13313557133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130323689472).

13313557133760 is an abundant number, since it is smaller than the sum of its proper divisors (34947090245184).

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

13313557133760 is a wasteful number, since it uses less digits than its factorization.

13313557133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930172 (or 930162 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 48.

The spelling of 13313557133760 in words is "thirteen trillion, three hundred thirteen billion, five hundred fifty-seven million, one hundred thirty-three thousand, seven hundred sixty".