13300133002013 has 16 divisors (see below), whose sum is σ = 15655207517376. Its totient is φ = 11139610458240.

The previous prime is 13300133002007. The next prime is 13300133002019. The reversal of 13300133002013 is 31020033100331.

It is an interprime number because it is at equal distance from previous prime (13300133002007) and next prime (13300133002019).

It is not a de Polignac number, because 13300133002013 - 2¹⁸ = 13300132739869 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 (13300133002019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88842920 + ... + 88992497.

It is an arithmetic number, because the mean of its divisors is an integer number (978450469836).

Almost surely, 2^{13300133002013} is an apocalyptic number.

13300133002013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13300133002013 is a deficient number, since it is larger than the sum of its proper divisors (2355074515363).

13300133002013 is a wasteful number, since it uses less digits than its factorization.

13300133002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177835964.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13300133002013 its reverse (31020033100331), we get a palindrome (44320166102344).

The spelling of 13300133002013 in words is "thirteen trillion, three hundred billion, one hundred thirty-three million, two thousand, thirteen".