2121131213313 has 64 divisors (see below), whose sum is σ = 3400316485632. Its totient is φ = 1149902994240.

The previous prime is 2121131213297. The next prime is 2121131213317. The reversal of 2121131213313 is 3133121311212.

It is not a de Polignac number, because 2121131213313 - 2⁴ = 2121131213297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121131213317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132042720 + ... + 132058782.

It is an arithmetic number, because the mean of its divisors is an integer number (53129945088).

Almost surely, 2^{2121131213313} is an apocalyptic number.

2121131213313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2121131213313 is a deficient number, since it is larger than the sum of its proper divisors (1279185272319).

2121131213313 is a wasteful number, since it uses less digits than its factorization.

2121131213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314.

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

Adding to 2121131213313 its reverse (3133121311212), we get a palindrome (5254252524525).

The spelling of 2121131213313 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".