2113111313313 has 128 divisors (see below), whose sum is σ = 4021047152640. Its totient is φ = 949958737920.

The previous prime is 2113111313311. The next prime is 2113111313323. The reversal of 2113111313313 is 3133131113112.

It is not a de Polignac number, because 2113111313313 - 2¹ = 2113111313311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2113111313311) 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 127 ways as a sum of consecutive naturals, for example, 13039578 + ... + 13200636.

It is an arithmetic number, because the mean of its divisors is an integer number (31414430880).

Almost surely, 2^{2113111313313} is an apocalyptic number.

It is an amenable number.

2113111313313 is a deficient number, since it is larger than the sum of its proper divisors (1907935839327).

2113111313313 is a wasteful number, since it uses less digits than its factorization.

2113111313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161367.

The product of its digits is 486, while the sum is 24.

Adding to 2113111313313 its reverse (3133131113112), we get a palindrome (5246242426425).

The spelling of 2113111313313 in words is "two trillion, one hundred thirteen billion, one hundred eleven million, three hundred thirteen thousand, three hundred thirteen".