2213413013101 has 2 divisors, whose sum is σ = 2213413013102. Its totient is φ = 2213413013100.

The previous prime is 2213413013059. The next prime is 2213413013113. The reversal of 2213413013101 is 1013103143122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1352915596201 + 860497416900 = 1163149^2 + 927630^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213413013101 - 2¹¹ = 2213413011053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213413053101) 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 as a sum of consecutive naturals, namely, 1106706506550 + 1106706506551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106706506551).

Almost surely, 2^{2213413013101} is an apocalyptic number.

It is an amenable number.

2213413013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213413013101 is an equidigital number, since it uses as much as digits as its factorization.

2213413013101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2213413013101 its reverse (1013103143122), we get a palindrome (3226516156223).

The spelling of 2213413013101 in words is "two trillion, two hundred thirteen billion, four hundred thirteen million, thirteen thousand, one hundred one".