13011313033296 has 240 divisors, whose sum is σ = 37832448635280. Its totient is φ = 4170872217600.

The previous prime is 13011313033289. The next prime is 13011313033307. The reversal of 13011313033296 is 69233031311031.

13011313033296 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 313 + 0 + 332 + 9 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1831518328896 + 11179794704400 = 1353336^2 + 3343620^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13011313033296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282283246 + ... + 2282288946.

It is an arithmetic number, because the mean of its divisors is an integer number (157635202647).

Almost surely, 2^{13011313033296} is an apocalyptic number.

13011313033296 is a gapful number since it is divisible by the number (16) 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 13011313033296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916224317640).

13011313033296 is an abundant number, since it is smaller than the sum of its proper divisors (24821135601984).

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

13011313033296 is a wasteful number, since it uses less digits than its factorization.

13011313033296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 13011313033296 in words is "thirteen trillion, eleven billion, three hundred thirteen million, thirty-three thousand, two hundred ninety-six".