2213312123331 has 48 divisors (see below), whose sum is σ = 3229163945280. Its totient is φ = 1460775686400.

The previous prime is 2213312123249. The next prime is 2213312123333. The reversal of 2213312123331 is 1333212133122.

2213312123331 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 312 + 12 + 3 + 331 = 666.

It is not a de Polignac number, because 2213312123331 - 2⁷ = 2213312123203 is a prime.

It is a super-2 number, since 2×2213312123331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213312123295 and 2213312123304.

It is not an unprimeable number, because it can be changed into a prime (2213312123333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554851885 + ... + 554855873.

It is an arithmetic number, because the mean of its divisors is an integer number (67274248860).

Almost surely, 2^{2213312123331} is an apocalyptic number.

2213312123331 is a deficient number, since it is larger than the sum of its proper divisors (1015851821949).

2213312123331 is a wasteful number, since it uses less digits than its factorization.

2213312123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5433 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2213312123331 its reverse (1333212133122), we get a palindrome (3546524256453).

The spelling of 2213312123331 in words is "two trillion, two hundred thirteen billion, three hundred twelve million, one hundred twenty-three thousand, three hundred thirty-one".