22011010010113 has 2 divisors, whose sum is σ = 22011010010114. Its totient is φ = 22011010010112.

The previous prime is 22011010010009. The next prime is 22011010010233. The reversal of 22011010010113 is 31101001011022.

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., 13046782393089 + 8964227617024 = 3612033^2 + 2994032^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22011010010113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011010010093 and 22011010010102.

It is not a weakly prime, because it can be changed into another prime (22011010020113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005505005056 + 11005505005057.

It is an arithmetic number, because the mean of its divisors is an integer number (11005505005057).

Almost surely, 2^{22011010010113} is an apocalyptic number.

It is an amenable number.

22011010010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011010010113 is an equidigital number, since it uses as much as digits as its factorization.

22011010010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 22011010010113 its reverse (31101001011022), we get a palindrome (53112011021135).

The spelling of 22011010010113 in words is "twenty-two trillion, eleven billion, ten million, ten thousand, one hundred thirteen".