13113258359040 has 1152 divisors, whose sum is σ = 53829933696000. Its totient is φ = 2960949510144.

The previous prime is 13113258359021. The next prime is 13113258359119. The reversal of 13113258359040 is 4095385231131.

13113258359040 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 2 + 58 + 3 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13421963032 + ... + 13421964008.

It is an arithmetic number, because the mean of its divisors is an integer number (46727373000).

Almost surely, 2^{13113258359040} is an apocalyptic number.

13113258359040 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 13113258359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914966848000).

13113258359040 is an abundant number, since it is smaller than the sum of its proper divisors (40716675336960).

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

13113258359040 is a wasteful number, since it uses less digits than its factorization.

13113258359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13113258359040 in words is "thirteen trillion, one hundred thirteen billion, two hundred fifty-eight million, three hundred fifty-nine thousand, forty".