2202331213013 has 2 divisors, whose sum is σ = 2202331213014. Its totient is φ = 2202331213012.

The previous prime is 2202331213003. The next prime is 2202331213021. The reversal of 2202331213013 is 3103121332022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1889132044849 + 313199168164 = 1374457^2 + 559642^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202331213013 - 2¹⁰ = 2202331211989 is a prime.

It is a super-2 number, since 2×2202331213013² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2202331213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202331213003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101165606506 + 1101165606507.

It is an arithmetic number, because the mean of its divisors is an integer number (1101165606507).

Almost surely, 2^{2202331213013} is an apocalyptic number.

It is an amenable number.

2202331213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202331213013 is an equidigital number, since it uses as much as digits as its factorization.

2202331213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2202331213013 its reverse (3103121332022), we get a palindrome (5305452545035).

The spelling of 2202331213013 in words is "two trillion, two hundred two billion, three hundred thirty-one million, two hundred thirteen thousand, thirteen".