213122031201613 has 2 divisors, whose sum is σ = 213122031201614. Its totient is φ = 213122031201612.

The previous prime is 213122031201581. The next prime is 213122031201619. The reversal of 213122031201613 is 316102130221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155050361494084 + 58071669707529 = 12451922^2 + 7620477^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122031201613 - 2⁵ = 213122031201581 is a prime.

It is a super-2 number, since 2×213122031201613² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122031201619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561015600806 + 106561015600807.

It is an arithmetic number, because the mean of its divisors is an integer number (106561015600807).

Almost surely, 2^{213122031201613} is an apocalyptic number.

It is an amenable number.

213122031201613 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122031201613 is an equidigital number, since it uses as much as digits as its factorization.

213122031201613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 213122031201613 its reverse (316102130221312), we get a palindrome (529224161422925).

The spelling of 213122031201613 in words is "two hundred thirteen trillion, one hundred twenty-two billion, thirty-one million, two hundred one thousand, six hundred thirteen".