2102213232313 has 2 divisors, whose sum is σ = 2102213232314. Its totient is φ = 2102213232312.

The previous prime is 2102213232257. The next prime is 2102213232341. The reversal of 2102213232313 is 3132323122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2097291929209 + 4921303104 = 1448203^2 + 70152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102213232313 - 2¹³ = 2102213224121 is a prime.

It is a super-2 number, since 2×2102213232313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102213233313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051106616156 + 1051106616157.

It is an arithmetic number, because the mean of its divisors is an integer number (1051106616157).

Almost surely, 2^{2102213232313} is an apocalyptic number.

It is an amenable number.

2102213232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102213232313 is an equidigital number, since it uses as much as digits as its factorization.

2102213232313 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 25.

Adding to 2102213232313 its reverse (3132323122012), we get a palindrome (5234536354325).

The spelling of 2102213232313 in words is "two trillion, one hundred two billion, two hundred thirteen million, two hundred thirty-two thousand, three hundred thirteen".