213122113013 has 2 divisors, whose sum is σ = 213122113014. Its totient is φ = 213122113012.

The previous prime is 213122113007. The next prime is 213122113069. The reversal of 213122113013 is 310311221312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211509849604 + 1612263409 = 459902^2 + 40153^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122113013 - 2¹⁰ = 213122111989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122113003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561056506 + 106561056507.

It is an arithmetic number, because the mean of its divisors is an integer number (106561056507).

Almost surely, 2^213122113013 is an apocalyptic number.

It is an amenable number.

213122113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122113013 is an equidigital number, since it uses as much as digits as its factorization.

213122113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213122113013 its reverse (310311221312), we get a palindrome (523433334325).

The spelling of 213122113013 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirteen thousand, thirteen".