2013010231311 has 32 divisors (see below), whose sum is σ = 3020314752000. Its totient is φ = 1324895007744.

The previous prime is 2013010231273. The next prime is 2013010231339. The reversal of 2013010231311 is 1131320103102.

2013010231311 is a `hidden beast` number, since 20 + 1 + 301 + 0 + 2 + 31 + 311 = 666.

It is not a de Polignac number, because 2013010231311 - 2²⁶ = 2012943122447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013010231511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838810 + ... + 3476328.

It is an arithmetic number, because the mean of its divisors is an integer number (94384836000).

Almost surely, 2^{2013010231311} is an apocalyptic number.

2013010231311 is a deficient number, since it is larger than the sum of its proper divisors (1007304520689).

2013010231311 is a wasteful number, since it uses less digits than its factorization.

2013010231311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639020 (or 639014 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013010231311 its reverse (1131320103102), we get a palindrome (3144330334413).

The spelling of 2013010231311 in words is "two trillion, thirteen billion, ten million, two hundred thirty-one thousand, three hundred eleven".