13033233213 has 128 divisors (see below), whose sum is σ = 23859892224. Its totient is φ = 6110208000.

The previous prime is 13033233203. The next prime is 13033233229. The reversal of 13033233213 is 31233233031.

It is not a de Polignac number, because 13033233213 - 2⁵ = 13033233181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29420170 + ... + 29420612.

It is an arithmetic number, because the mean of its divisors is an integer number (186405408).

Almost surely, 2^13033233213 is an apocalyptic number.

13033233213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13033233213 is a deficient number, since it is larger than the sum of its proper divisors (10826659011).

13033233213 is a wasteful number, since it uses less digits than its factorization.

13033233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13033233213 its reverse (31233233031), we get a palindrome (44266466244).

It can be divided in two parts, 1303323 and 3213, that added together give a triangular number (1306536 = T₁₆₁₆).

The spelling of 13033233213 in words is "thirteen billion, thirty-three million, two hundred thirty-three thousand, two hundred thirteen".