2013311102013 has 48 divisors (see below), whose sum is σ = 2977233105600. Its totient is φ = 1310654822400.

The previous prime is 2013311101999. The next prime is 2013311102027. The reversal of 2013311102013 is 3102011133102.

2013311102013 is a `hidden beast` number, since 20 + 1 + 331 + 110 + 201 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2013311101999) and next prime (2013311102027).

It is not a de Polignac number, because 2013311102013 - 2¹³ = 2013311093821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013311102063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52005538 + ... + 52044236.

It is an arithmetic number, because the mean of its divisors is an integer number (62025689700).

Almost surely, 2^{2013311102013} is an apocalyptic number.

It is an amenable number.

2013311102013 is a deficient number, since it is larger than the sum of its proper divisors (963922003587).

2013311102013 is a wasteful number, since it uses less digits than its factorization.

2013311102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39450 (or 39447 counting only the distinct ones).

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

Adding to 2013311102013 its reverse (3102011133102), we get a palindrome (5115322235115).

The spelling of 2013311102013 in words is "two trillion, thirteen billion, three hundred eleven million, one hundred two thousand, thirteen".