13300013013 has 12 divisors (see below), whose sum is σ = 20628591840. Its totient is φ = 7600007352.

The previous prime is 13300012969. The next prime is 13300013021. The reversal of 13300013013 is 31031000331.

It is not a de Polignac number, because 13300013013 - 2⁹ = 13300012501 is a prime.

It is a super-2 number, since 2×13300013013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13300012983 and 13300013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45237993 + ... + 45238286.

It is an arithmetic number, because the mean of its divisors is an integer number (1719049320).

Almost surely, 2^13300013013 is an apocalyptic number.

It is an amenable number.

13300013013 is a deficient number, since it is larger than the sum of its proper divisors (7328578827).

13300013013 is an equidigital number, since it uses as much as digits as its factorization.

13300013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90476296 (or 90476289 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13300013013 its reverse (31031000331), we get a palindrome (44331013344).

The spelling of 13300013013 in words is "thirteen billion, three hundred million, thirteen thousand, thirteen".