2121313101313 has 8 divisors (see below), whose sum is σ = 2448361373760. Its totient is φ = 1800265714800.

The previous prime is 2121313101301. The next prime is 2121313101343. The reversal of 2121313101313 is 3131013131212.

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

It is not a de Polignac number, because 2121313101313 - 2³³ = 2112723166721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121313101343) 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, 1500220723 + ... + 1500222136.

It is an arithmetic number, because the mean of its divisors is an integer number (306045171720).

Almost surely, 2^{2121313101313} is an apocalyptic number.

It is an amenable number.

2121313101313 is a deficient number, since it is larger than the sum of its proper divisors (327048272447).

2121313101313 is a wasteful number, since it uses less digits than its factorization.

2121313101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000442967.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2121313101313 its reverse (3131013131212), we get a palindrome (5252326232525).

The spelling of 2121313101313 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred one thousand, three hundred thirteen".