22414100142113 has 2 divisors, whose sum is σ = 22414100142114. Its totient is φ = 22414100142112.

The previous prime is 22414100142073. The next prime is 22414100142139. The reversal of 22414100142113 is 31124100141422.

It is an a-pointer prime, because the next prime (22414100142139) can be obtained adding 22414100142113 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22401175408144 + 12924733969 = 4732988^2 + 113687^2 .

It is a cyclic number.

It is not a de Polignac number, because 22414100142113 - 2²⁰ = 22414099093537 is a prime.

It is a super-2 number, since 2×22414100142113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22414100142193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11207050071056 + 11207050071057.

It is an arithmetic number, because the mean of its divisors is an integer number (11207050071057).

Almost surely, 2^{22414100142113} is an apocalyptic number.

It is an amenable number.

22414100142113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22414100142113 is an equidigital number, since it uses as much as digits as its factorization.

22414100142113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 22414100142113 its reverse (31124100141422), we get a palindrome (53538200283535).

The spelling of 22414100142113 in words is "twenty-two trillion, four hundred fourteen billion, one hundred million, one hundred forty-two thousand, one hundred thirteen".