13021002213313 has 4 divisors (see below), whose sum is σ = 13021743197268. Its totient is φ = 13020261229360.

The previous prime is 13021002213283. The next prime is 13021002213361. The reversal of 13021002213313 is 31331220012031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10781451054144 + 2239551159169 = 3283512^2 + 1496513^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021002213313 - 2²⁵ = 13020968658881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13021002213013) 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 3 ways as a sum of consecutive naturals, for example, 370465618 + ... + 370500763.

It is an arithmetic number, because the mean of its divisors is an integer number (3255435799317).

Almost surely, 2^{13021002213313} is an apocalyptic number.

It is an amenable number.

13021002213313 is a deficient number, since it is larger than the sum of its proper divisors (740983955).

13021002213313 is an equidigital number, since it uses as much as digits as its factorization.

13021002213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740983954.

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

Adding to 13021002213313 its reverse (31331220012031), we get a palindrome (44352222225344).

The spelling of 13021002213313 in words is "thirteen trillion, twenty-one billion, two million, two hundred thirteen thousand, three hundred thirteen".