2113121311331 has 8 divisors (see below), whose sum is σ = 2113640257344. Its totient is φ = 2112602446080.

The previous prime is 2113121311309. The next prime is 2113121311381. The reversal of 2113121311331 is 1331131213112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2113121311331 - 2¹⁸ = 2113121049187 is a prime.

It is a super-2 number, since 2×2113121311331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2113121311297 and 2113121311306.

It is not an unprimeable number, because it can be changed into a prime (2113121311381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113960921 + ... + 113979461.

It is an arithmetic number, because the mean of its divisors is an integer number (264205032168).

Almost surely, 2^{2113121311331} is an apocalyptic number.

2113121311331 is a deficient number, since it is larger than the sum of its proper divisors (518946013).

2113121311331 is a wasteful number, since it uses less digits than its factorization.

2113121311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40381.

The product of its digits is 324, while the sum is 23.

Adding to 2113121311331 its reverse (1331131213112), we get a palindrome (3444252524443).

The spelling of 2113121311331 in words is "two trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, three hundred thirty-one".