13133237290368 has 512 divisors, whose sum is σ = 39391894080000. Its totient is φ = 3848980660224.

The previous prime is 13133237290367. The next prime is 13133237290373. The reversal of 13133237290368 is 86309273233131.

It is a super-2 number, since 2×13133237290368² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13133237290368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133237290367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3980973583 + ... + 3980976881.

It is an arithmetic number, because the mean of its divisors is an integer number (76937293125).

Almost surely, 2^{13133237290368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133237290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19695947040000).

13133237290368 is an abundant number, since it is smaller than the sum of its proper divisors (26258656789632).

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

13133237290368 is a wasteful number, since it uses less digits than its factorization.

13133237290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 13133237290368 in words is "thirteen trillion, one hundred thirty-three billion, two hundred thirty-seven million, two hundred ninety thousand, three hundred sixty-eight".