2013003303213 has 16 divisors (see below), whose sum is σ = 3077902670976. Its totient is φ = 1146361702080.

The previous prime is 2013003303161. The next prime is 2013003303239. The reversal of 2013003303213 is 3123033003102.

It is not a de Polignac number, because 2013003303213 - 2¹⁴ = 2013003286829 is a prime.

It is a super-2 number, since 2×2013003303213² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2013003303213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013003303313) 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 15 ways as a sum of consecutive naturals, for example, 163572858 + ... + 163585163.

It is an arithmetic number, because the mean of its divisors is an integer number (192368916936).

Almost surely, 2^{2013003303213} is an apocalyptic number.

It is an amenable number.

2013003303213 is a deficient number, since it is larger than the sum of its proper divisors (1064899367763).

2013003303213 is a wasteful number, since it uses less digits than its factorization.

2013003303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327158324.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2013003303213 its reverse (3123033003102), we get a palindrome (5136036306315).

The spelling of 2013003303213 in words is "two trillion, thirteen billion, three million, three hundred three thousand, two hundred thirteen".