13011347416320 has 1440 divisors, whose sum is σ = 51921681001344. Its totient is φ = 3084720537600.

The previous prime is 13011347416283. The next prime is 13011347416351. The reversal of 13011347416320 is 2361474311031.

13011347416320 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 3 + 474 + 163 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10906409644 + ... + 10906410836.

Almost surely, 2^{13011347416320} is an apocalyptic number.

13011347416320 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 13011347416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960840500672).

13011347416320 is an abundant number, since it is smaller than the sum of its proper divisors (38910333585024).

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

13011347416320 is a wasteful number, since it uses less digits than its factorization.

13011347416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13011347416320 in words is "thirteen trillion, eleven billion, three hundred forty-seven million, four hundred sixteen thousand, three hundred twenty".