2013002223331 has 24 divisors (see below), whose sum is σ = 2314352194560. Its totient is φ = 1746258051120.

The previous prime is 2013002223329. The next prime is 2013002223367. The reversal of 2013002223331 is 1333222003102.

It is not a de Polignac number, because 2013002223331 - 2¹ = 2013002223329 is a prime.

It is a super-2 number, since 2×2013002223331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013002223311) 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 23 ways as a sum of consecutive naturals, for example, 302926 + ... + 2029228.

It is an arithmetic number, because the mean of its divisors is an integer number (96431341440).

Almost surely, 2^{2013002223331} is an apocalyptic number.

2013002223331 is a deficient number, since it is larger than the sum of its proper divisors (301349971229).

2013002223331 is a wasteful number, since it uses less digits than its factorization.

2013002223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726767 (or 1726756 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2013002223331 its reverse (1333222003102), we get a palindrome (3346224226433).

The spelling of 2013002223331 in words is "two trillion, thirteen billion, two million, two hundred twenty-three thousand, three hundred thirty-one".