13302133123013 has 16 divisors (see below), whose sum is σ = 15574715856000. Its totient is φ = 11122672992000.

The previous prime is 13302133122829. The next prime is 13302133123031. The reversal of 13302133123013 is 31032133120331.

13302133123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13302133123013 - 2¹⁰ = 13302133121989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302133123033) 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, 805913 + ... + 5220513.

It is an arithmetic number, because the mean of its divisors is an integer number (973419741000).

Almost surely, 2^{13302133123013} is an apocalyptic number.

It is an amenable number.

13302133123013 is a deficient number, since it is larger than the sum of its proper divisors (2272582732987).

13302133123013 is a wasteful number, since it uses less digits than its factorization.

13302133123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425148.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13302133123013 its reverse (31032133120331), we get a palindrome (44334266243344).

The spelling of 13302133123013 in words is "thirteen trillion, three hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, thirteen".