13023013322213 has 32 divisors (see below), whose sum is σ = 14413146117120. Its totient is φ = 11704052828160.

The previous prime is 13023013322191. The next prime is 13023013322243. The reversal of 13023013322213 is 31222331032031.

13023013322213 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 13023013322213 - 2²⁰ = 13023012273637 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 (13023013322243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949815428 + ... + 949829138.

It is an arithmetic number, because the mean of its divisors is an integer number (450410816160).

Almost surely, 2^{13023013322213} is an apocalyptic number.

It is an amenable number.

13023013322213 is a deficient number, since it is larger than the sum of its proper divisors (1390132794907).

13023013322213 is a wasteful number, since it uses less digits than its factorization.

13023013322213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13023013322213 its reverse (31222331032031), we get a palindrome (44245344354244).

The spelling of 13023013322213 in words is "thirteen trillion, twenty-three billion, thirteen million, three hundred twenty-two thousand, two hundred thirteen".