13213201032013 has 8 divisors (see below), whose sum is σ = 13218822516600. Its totient is φ = 13207580198400.

The previous prime is 13213201031983. The next prime is 13213201032019. The reversal of 13213201032013 is 31023010231231.

It can be written as a sum of positive squares in 4 ways, for example, as 1751035553289 + 11462165478724 = 1323267^2 + 3385582^2 .

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 13213201032013 - 2⁵ = 13213201031981 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 (13213201032019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42838881 + ... + 43146217.

It is an arithmetic number, because the mean of its divisors is an integer number (1652352814575).

Almost surely, 2^{13213201032013} is an apocalyptic number.

It is an amenable number.

13213201032013 is a deficient number, since it is larger than the sum of its proper divisors (5621484587).

13213201032013 is a wasteful number, since it uses less digits than its factorization.

13213201032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325487.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13213201032013 its reverse (31023010231231), we get a palindrome (44236211263244).

The spelling of 13213201032013 in words is "thirteen trillion, two hundred thirteen billion, two hundred one million, thirty-two thousand, thirteen".