2013312100011 has 32 divisors (see below), whose sum is σ = 2763013026816. Its totient is φ = 1303232544000.

The previous prime is 2013312100001. The next prime is 2013312100073. The reversal of 2013312100011 is 1100012133102.

It is a happy number.

It is not a de Polignac number, because 2013312100011 - 2⁵ = 2013312099979 is a prime.

It is a super-2 number, since 2×2013312100011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013312100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31334260 + ... + 31398446.

It is an arithmetic number, because the mean of its divisors is an integer number (86344157088).

Almost surely, 2^{2013312100011} is an apocalyptic number.

2013312100011 is a deficient number, since it is larger than the sum of its proper divisors (749700926805).

2013312100011 is a wasteful number, since it uses less digits than its factorization.

2013312100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65443.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2013312100011 its reverse (1100012133102), we get a palindrome (3113324233113).

The spelling of 2013312100011 in words is "two trillion, thirteen billion, three hundred twelve million, one hundred thousand, eleven".