13033132013213 has 8 divisors (see below), whose sum is σ = 14057374117248. Its totient is φ = 12011988978864.

The previous prime is 13033132013201. The next prime is 13033132013257. The reversal of 13033132013213 is 31231023133031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13033132013213 - 2⁴ = 13033132013197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033132013413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774758681 + ... + 774775502.

It is an arithmetic number, because the mean of its divisors is an integer number (1757171764656).

Almost surely, 2^{13033132013213} is an apocalyptic number.

13033132013213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13033132013213 is a deficient number, since it is larger than the sum of its proper divisors (1024242104035).

13033132013213 is a wasteful number, since it uses less digits than its factorization.

13033132013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549534843.

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

Adding to 13033132013213 its reverse (31231023133031), we get a palindrome (44264155146244).

The spelling of 13033132013213 in words is "thirteen trillion, thirty-three billion, one hundred thirty-two million, thirteen thousand, two hundred thirteen".