13333332013 has 2 divisors, whose sum is σ = 13333332014. Its totient is φ = 13333332012.

The previous prime is 13333331983. The next prime is 13333332037. The reversal of 13333332013 is 31023333331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9780814404 + 3552517609 = 98898^2 + 59603^2 .

It is a cyclic number.

It is not a de Polignac number, because 13333332013 - 2¹⁷ = 13333200941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13333332053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6666666006 + 6666666007.

It is an arithmetic number, because the mean of its divisors is an integer number (6666666007).

Almost surely, 2^13333332013 is an apocalyptic number.

It is an amenable number.

13333332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333332013 is an equidigital number, since it uses as much as digits as its factorization.

13333332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 13333332013 its reverse (31023333331), we get a palindrome (44356665344).

The spelling of 13333332013 in words is "thirteen billion, three hundred thirty-three million, three hundred thirty-two thousand, thirteen".