13301323332013 has 8 divisors (see below), whose sum is σ = 13696345579896. Its totient is φ = 12909662976000.

The previous prime is 13301323331999. The next prime is 13301323332053. The reversal of 13301323332013 is 31023332310331.

It can be written as a sum of positive squares in 4 ways, for example, as 76041923049 + 13225281408964 = 275757^2 + 3636658^2 .

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 13301323332013 - 2¹⁷ = 13301323200941 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 (13301323332053) 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, 840464938 + ... + 840480763.

It is an arithmetic number, because the mean of its divisors is an integer number (1712043197487).

Almost surely, 2^{13301323332013} is an apocalyptic number.

It is an amenable number.

13301323332013 is a deficient number, since it is larger than the sum of its proper divisors (395022247883).

13301323332013 is a wasteful number, since it uses less digits than its factorization.

13301323332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680945935.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13301323332013 its reverse (31023332310331), we get a palindrome (44324655642344).

The spelling of 13301323332013 in words is "thirteen trillion, three hundred one billion, three hundred twenty-three million, three hundred thirty-two thousand, thirteen".