2113321331121 has 128 divisors (see below), whose sum is σ = 4019529830400. Its totient is φ = 951991004160.

The previous prime is 2113321331119. The next prime is 2113321331129. The reversal of 2113321331121 is 1211331233112.

It is not a de Polignac number, because 2113321331121 - 2¹ = 2113321331119 is a prime.

It is a super-2 number, since 2×2113321331121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113321331091 and 2113321331100.

It is not an unprimeable number, because it can be changed into a prime (2113321331129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2894290 + ... + 3550148.

It is an arithmetic number, because the mean of its divisors is an integer number (31402576800).

Almost surely, 2^{2113321331121} is an apocalyptic number.

2113321331121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2113321331121 is a deficient number, since it is larger than the sum of its proper divisors (1906208499279).

2113321331121 is a wasteful number, since it uses less digits than its factorization.

2113321331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655959.

The product of its digits is 648, while the sum is 24.

Adding to 2113321331121 its reverse (1211331233112), we get a palindrome (3324652564233).

It can be divided in two parts, 2113321 and 331121, that added together give a palindrome (2444442).

The spelling of 2113321331121 in words is "two trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-one".