22312133120117 has 2 divisors, whose sum is σ = 22312133120118. Its totient is φ = 22312133120116.

The previous prime is 22312133120099. The next prime is 22312133120131. The reversal of 22312133120117 is 71102133121322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14296671836836 + 8015461283281 = 3781094^2 + 2831159^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312133120117 - 2⁴⁰ = 21212621492341 is a prime.

It is a super-3 number, since 3×22312133120117³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22312133120117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312133120177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156066560058 + 11156066560059.

It is an arithmetic number, because the mean of its divisors is an integer number (11156066560059).

Almost surely, 2^{22312133120117} is an apocalyptic number.

It is an amenable number.

22312133120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312133120117 is an equidigital number, since it uses as much as digits as its factorization.

22312133120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 22312133120117 its reverse (71102133121322), we get a palindrome (93414266241439).

The spelling of 22312133120117 in words is "twenty-two trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty thousand, one hundred seventeen".