13003213312013 has 4 divisors (see below), whose sum is σ = 13003346569728. Its totient is φ = 13003080054300.

The previous prime is 13003213311973. The next prime is 13003213312031. The reversal of 13003213312013 is 31021331230031.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13003213312013 - 2⁸ = 13003213311757 is a prime.

It is a super-2 number, since 2×13003213312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13003213312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003213312613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66482381 + ... + 66677682.

It is an arithmetic number, because the mean of its divisors is an integer number (3250836642432).

Almost surely, 2^{13003213312013} is an apocalyptic number.

It is an amenable number.

13003213312013 is a deficient number, since it is larger than the sum of its proper divisors (133257715).

13003213312013 is an equidigital number, since it uses as much as digits as its factorization.

13003213312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133257714.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13003213312013 its reverse (31021331230031), we get a palindrome (44024544542044).

The spelling of 13003213312013 in words is "thirteen trillion, three billion, two hundred thirteen million, three hundred twelve thousand, thirteen".