2013123310011 has 32 divisors (see below), whose sum is σ = 3253745164800. Its totient is φ = 1219995030240.

The previous prime is 2013123310001. The next prime is 2013123310021. The reversal of 2013123310011 is 1100133213102.

2013123310011 is a `hidden beast` number, since 20 + 1 + 312 + 331 + 0 + 0 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2013123310001) and next prime (2013123310021).

It is not a de Polignac number, because 2013123310011 - 2³⁰ = 2012049568187 is a prime.

It is a super-2 number, since 2×2013123310011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013123310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4502010 + ... + 4928928.

It is an arithmetic number, because the mean of its divisors is an integer number (101679536400).

Almost surely, 2^{2013123310011} is an apocalyptic number.

2013123310011 is a deficient number, since it is larger than the sum of its proper divisors (1240621854789).

2013123310011 is a wasteful number, since it uses less digits than its factorization.

2013123310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442816 (or 442810 counting only the distinct ones).

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

Adding to 2013123310011 its reverse (1100133213102), we get a palindrome (3113256523113).

The spelling of 2013123310011 in words is "two trillion, thirteen billion, one hundred twenty-three million, three hundred ten thousand, eleven".