22112130313001 has 2 divisors, whose sum is σ = 22112130313002. Its totient is φ = 22112130313000.

The previous prime is 22112130312953. The next prime is 22112130313061. The reversal of 22112130313001 is 10031303121122.

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., 22084585931776 + 27544381225 = 4699424^2 + 165965^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112130313001 - 2²⁶ = 22112063204137 is a prime.

It is a super-3 number, since 3×22112130313001³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22112130313061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056065156500 + 11056065156501.

It is an arithmetic number, because the mean of its divisors is an integer number (11056065156501).

Almost surely, 2^{22112130313001} is an apocalyptic number.

It is an amenable number.

22112130313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112130313001 is an equidigital number, since it uses as much as digits as its factorization.

22112130313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 22112130313001 its reverse (10031303121122), we get a palindrome (32143433434123).

The spelling of 22112130313001 in words is "twenty-two trillion, one hundred twelve billion, one hundred thirty million, three hundred thirteen thousand, one".