22011011122013 has 2 divisors, whose sum is σ = 22011011122014. Its totient is φ = 22011011122012.

The previous prime is 22011011121997. The next prime is 22011011122063. The reversal of 22011011122013 is 31022111011022.

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., 21567831997924 + 443179124089 = 4644118^2 + 665717^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011011122013 - 2⁴ = 22011011121997 is a prime.

It is a super-2 number, since 2×22011011122013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22011011121982 and 22011011122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22011011122063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005505561006 + 11005505561007.

It is an arithmetic number, because the mean of its divisors is an integer number (11005505561007).

Almost surely, 2^{22011011122013} is an apocalyptic number.

It is an amenable number.

22011011122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011011122013 is an equidigital number, since it uses as much as digits as its factorization.

22011011122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 22011011122013 its reverse (31022111011022), we get a palindrome (53033122133035).

The spelling of 22011011122013 in words is "twenty-two trillion, eleven billion, eleven million, one hundred twenty-two thousand, thirteen".