2113330311213 has 32 divisors (see below), whose sum is σ = 3190625378304. Its totient is φ = 1232641800000.

The previous prime is 2113330311199. The next prime is 2113330311227. The reversal of 2113330311213 is 3121130333112.

It is an interprime number because it is at equal distance from previous prime (2113330311199) and next prime (2113330311227).

It is not a de Polignac number, because 2113330311213 - 2⁵ = 2113330311181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113330311283) 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, 5521513 + ... + 5891838.

It is an arithmetic number, because the mean of its divisors is an integer number (99707043072).

Almost surely, 2^{2113330311213} is an apocalyptic number.

It is an amenable number.

2113330311213 is a deficient number, since it is larger than the sum of its proper divisors (1077295067091).

2113330311213 is a wasteful number, since it uses less digits than its factorization.

2113330311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413577.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2113330311213 its reverse (3121130333112), we get a palindrome (5234460644325).

The spelling of 2113330311213 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, three hundred eleven thousand, two hundred thirteen".