2121201313213 has 2 divisors, whose sum is σ = 2121201313214. Its totient is φ = 2121201313212.

The previous prime is 2121201313183. The next prime is 2121201313237. The reversal of 2121201313213 is 3123131021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107267399449 + 13933913764 = 1451643^2 + 118042^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121201313213 - 2¹³ = 2121201305021 is a prime.

It is a super-2 number, since 2×2121201313213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121201313613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060600656606 + 1060600656607.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600656607).

Almost surely, 2^{2121201313213} is an apocalyptic number.

It is an amenable number.

2121201313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121201313213 is an equidigital number, since it uses as much as digits as its factorization.

2121201313213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2121201313213 its reverse (3123131021212), we get a palindrome (5244332334425).

The spelling of 2121201313213 in words is "two trillion, one hundred twenty-one billion, two hundred one million, three hundred thirteen thousand, two hundred thirteen".