22211211020113 has 2 divisors, whose sum is σ = 22211211020114. Its totient is φ = 22211211020112.

The previous prime is 22211211020111. The next prime is 22211211020179. The reversal of 22211211020113 is 31102011211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22136959130049 + 74251890064 = 4704993^2 + 272492^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211211020113 - 2¹ = 22211211020111 is a prime.

Together with 22211211020111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22211211020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105605510056 + 11105605510057.

It is an arithmetic number, because the mean of its divisors is an integer number (11105605510057).

Almost surely, 2^{22211211020113} is an apocalyptic number.

It is an amenable number.

22211211020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211211020113 is an equidigital number, since it uses as much as digits as its factorization.

22211211020113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 22211211020113 its reverse (31102011211222), we get a palindrome (53313222231335).

The spelling of 22211211020113 in words is "twenty-two trillion, two hundred eleven billion, two hundred eleven million, twenty thousand, one hundred thirteen".