2013022133331 has 64 divisors (see below), whose sum is σ = 3048506081280. Its totient is φ = 1170829296000.

The previous prime is 2013022133267. The next prime is 2013022133341. The reversal of 2013022133331 is 1333312203102.

It is not a de Polignac number, because 2013022133331 - 2⁶ = 2013022133267 is a prime.

It is a super-2 number, since 2×2013022133331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013022133341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195985726 + ... + 195995996.

It is an arithmetic number, because the mean of its divisors is an integer number (47632907520).

Almost surely, 2^{2013022133331} is an apocalyptic number.

2013022133331 is a deficient number, since it is larger than the sum of its proper divisors (1035483947949).

2013022133331 is a wasteful number, since it uses less digits than its factorization.

2013022133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2013022133331 its reverse (1333312203102), we get a palindrome (3346334336433).

The spelling of 2013022133331 in words is "two trillion, thirteen billion, twenty-two million, one hundred thirty-three thousand, three hundred thirty-one".