13311933207792 has 160 divisors (see below), whose sum is σ = 38469922053120. Its totient is φ = 3941887057920.

The previous prime is 13311933207779. The next prime is 13311933207803. The reversal of 13311933207792 is 29770233911331.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617428 + ... + 5785740.

It is an arithmetic number, because the mean of its divisors is an integer number (240437012832).

Almost surely, 2^{13311933207792} is an apocalyptic number.

13311933207792 is a gapful number since it is divisible by the number (12) 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 13311933207792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234961026560).

13311933207792 is an abundant number, since it is smaller than the sum of its proper divisors (25157988845328).

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

13311933207792 is a wasteful number, since it uses less digits than its factorization.

13311933207792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168631 (or 3168625 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 51.

The spelling of 13311933207792 in words is "thirteen trillion, three hundred eleven billion, nine hundred thirty-three million, two hundred seven thousand, seven hundred ninety-two".