2013131311233 has 64 divisors (see below), whose sum is σ = 3184332963840. Its totient is φ = 1106876187648.

The previous prime is 2013131311211. The next prime is 2013131311267. The reversal of 2013131311233 is 3321131313102.

It is not a de Polignac number, because 2013131311233 - 2⁵ = 2013131311201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013131313233) 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, 243333385 + ... + 243341657.

It is an arithmetic number, because the mean of its divisors is an integer number (49755202560).

Almost surely, 2^{2013131311233} is an apocalyptic number.

It is an amenable number.

2013131311233 is a deficient number, since it is larger than the sum of its proper divisors (1171201652607).

2013131311233 is a wasteful number, since it uses less digits than its factorization.

2013131311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2013131311233 its reverse (3321131313102), we get a palindrome (5334262624335).

The spelling of 2013131311233 in words is "two trillion, thirteen billion, one hundred thirty-one million, three hundred eleven thousand, two hundred thirty-three".