1338765037121 has 16 divisors (see below), whose sum is σ = 1413432643584. Its totient is φ = 1265520217104.

The previous prime is 1338765037097. The next prime is 1338765037201. The reversal of 1338765037121 is 1217305678331.

It is a cyclic number.

It is not a de Polignac number, because 1338765037121 - 2²⁶ = 1338697928257 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338765037321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573500 + ... + 1733906.

It is an arithmetic number, because the mean of its divisors is an integer number (88339540224).

Almost surely, 2^{1338765037121} is an apocalyptic number.

It is an amenable number.

1338765037121 is a deficient number, since it is larger than the sum of its proper divisors (74667606463).

1338765037121 is a wasteful number, since it uses less digits than its factorization.

1338765037121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161020.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 1338765037121 in words is "one trillion, three hundred thirty-eight billion, seven hundred sixty-five million, thirty-seven thousand, one hundred twenty-one".