13033032133033 has 64 divisors (see below), whose sum is σ = 14963589768960. Its totient is φ = 11246426214400.

The previous prime is 13033032132941. The next prime is 13033032133057. The reversal of 13033032133033 is 33033123033031.

13033032133033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13033032133033 - 2⁹ = 13033032132521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13033032132992 and 13033032133010.

It is not an unprimeable number, because it can be changed into a prime (13033030133033) 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, 4673011203 + ... + 4673013991.

It is an arithmetic number, because the mean of its divisors is an integer number (233806090140).

Almost surely, 2^{13033032133033} is an apocalyptic number.

It is an amenable number.

13033032133033 is a deficient number, since it is larger than the sum of its proper divisors (1930557635927).

13033032133033 is a wasteful number, since it uses less digits than its factorization.

13033032133033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458.

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 13033032133033 its reverse (33033123033031), we get a palindrome (46066155166064).

The spelling of 13033032133033 in words is "thirteen trillion, thirty-three billion, thirty-two million, one hundred thirty-three thousand, thirty-three".