2121313313233 has 8 divisors (see below), whose sum is σ = 2124863863848. Its totient is φ = 2117763057024.

The previous prime is 2121313313221. The next prime is 2121313313239. The reversal of 2121313313233 is 3323133131212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66743689104 + 2054569624129 = 258348^2 + 1433377^2 .

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 2121313313233 - 2⁹ = 2121313312721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121313313239) 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 7 ways as a sum of consecutive naturals, for example, 18069741 + ... + 18186757.

It is an arithmetic number, because the mean of its divisors is an integer number (265607982981).

Almost surely, 2^{2121313313233} is an apocalyptic number.

It is an amenable number.

2121313313233 is a deficient number, since it is larger than the sum of its proper divisors (3550550615).

2121313313233 is a wasteful number, since it uses less digits than its factorization.

2121313313233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147203.

The product of its digits is 5832, while the sum is 28.

Adding to 2121313313233 its reverse (3323133131212), we get a palindrome (5444446444445).

The spelling of 2121313313233 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, two hundred thirty-three".