2113320013133 has 24 divisors (see below), whose sum is σ = 2600798077632. Its totient is φ = 1681508795904.

The previous prime is 2113320013073. The next prime is 2113320013141. The reversal of 2113320013133 is 3313100233112.

It is not a de Polignac number, because 2113320013133 - 2¹⁸ = 2113319750989 is a prime.

It is a super-2 number, since 2×2113320013133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2113320013099 and 2113320013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113320010133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7007435 + ... + 7302792.

It is an arithmetic number, because the mean of its divisors is an integer number (108366586568).

Almost surely, 2^{2113320013133} is an apocalyptic number.

It is an amenable number.

2113320013133 is a deficient number, since it is larger than the sum of its proper divisors (487478064499).

2113320013133 is a wasteful number, since it uses less digits than its factorization.

2113320013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310341 (or 14310324 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2113320013133 its reverse (3313100233112), we get a palindrome (5426420246245).

The spelling of 2113320013133 in words is "two trillion, one hundred thirteen billion, three hundred twenty million, thirteen thousand, one hundred thirty-three".