22314345102113 has 2 divisors, whose sum is σ = 22314345102114. Its totient is φ = 22314345102112.

The previous prime is 22314345102103. The next prime is 22314345102151. The reversal of 22314345102113 is 31120154341322.

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., 22039719843904 + 274625258209 = 4694648^2 + 524047^2 .

It is a cyclic number.

It is not a de Polignac number, because 22314345102113 - 2⁸ = 22314345101857 is a prime.

It is a super-3 number, since 3×22314345102113³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314345102113.

It is not a weakly prime, because it can be changed into another prime (22314345102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11157172551056 + 11157172551057.

It is an arithmetic number, because the mean of its divisors is an integer number (11157172551057).

Almost surely, 2^{22314345102113} is an apocalyptic number.

It is an amenable number.

22314345102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22314345102113 is an equidigital number, since it uses as much as digits as its factorization.

22314345102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 22314345102113 its reverse (31120154341322), we get a palindrome (53434499443435).

The spelling of 22314345102113 in words is "twenty-two trillion, three hundred fourteen billion, three hundred forty-five million, one hundred two thousand, one hundred thirteen".