13391017003008 has 336 divisors, whose sum is σ = 40411419048000. Its totient is φ = 4434036940800.

The previous prime is 13391017002991. The next prime is 13391017003031. The reversal of 13391017003008 is 80030071019331.

13391017003008 is a `hidden beast` number, since 1 + 339 + 1 + 0 + 17 + 0 + 0 + 300 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 225412093 + ... + 225471491.

It is an arithmetic number, because the mean of its divisors is an integer number (120272080500).

Almost surely, 2^{13391017003008} is an apocalyptic number.

13391017003008 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 13391017003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205709524000).

13391017003008 is an abundant number, since it is smaller than the sum of its proper divisors (27020402044992).

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

13391017003008 is an frugal number, since it uses more digits than its factorization.

13391017003008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59590 (or 59555 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13391017003008 in words is "thirteen trillion, three hundred ninety-one billion, seventeen million, three thousand, eight".