2013303221013 has 64 divisors (see below), whose sum is σ = 3206810880000. Its totient is φ = 1122699860352.

The previous prime is 2013303221009. The next prime is 2013303221023. The reversal of 2013303221013 is 3101223033102.

It is not a de Polignac number, because 2013303221013 - 2² = 2013303221009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013303221003) 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 63 ways as a sum of consecutive naturals, for example, 8196378 + ... + 8438436.

It is an arithmetic number, because the mean of its divisors is an integer number (50106420000).

Almost surely, 2^{2013303221013} is an apocalyptic number.

It is an amenable number.

2013303221013 is a deficient number, since it is larger than the sum of its proper divisors (1193507658987).

2013303221013 is a wasteful number, since it uses less digits than its factorization.

2013303221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242279 (or 242265 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2013303221013 its reverse (3101223033102), we get a palindrome (5114526254115).

The spelling of 2013303221013 in words is "two trillion, thirteen billion, three hundred three million, two hundred twenty-one thousand, thirteen".