22122222100313 has 2 divisors, whose sum is σ = 22122222100314. Its totient is φ = 22122222100312.

The previous prime is 22122222100289. The next prime is 22122222100379. The reversal of 22122222100313 is 31300122222122.

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., 22018120368409 + 104101731904 = 4692347^2 + 322648^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122222100313 - 2¹² = 22122222096217 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122222100393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061111050156 + 11061111050157.

It is an arithmetic number, because the mean of its divisors is an integer number (11061111050157).

Almost surely, 2^{22122222100313} is an apocalyptic number.

It is an amenable number.

22122222100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122222100313 is an equidigital number, since it uses as much as digits as its factorization.

22122222100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22122222100313 its reverse (31300122222122), we get a palindrome (53422344322435).

The spelling of 22122222100313 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, three hundred thirteen".