122132133313109 has 2 divisors, whose sum is σ = 122132133313110. Its totient is φ = 122132133313108.

The previous prime is 122132133313007. The next prime is 122132133313129. The reversal of 122132133313109 is 901313331231221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118196361394225 + 3935771918884 = 10871815^2 + 1983878^2 .

It is a cyclic number.

It is not a de Polignac number, because 122132133313109 - 2¹⁶ = 122132133247573 is a prime.

It is a super-2 number, since 2×122132133313109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122132133313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066066656554 + 61066066656555.

It is an arithmetic number, because the mean of its divisors is an integer number (61066066656555).

Almost surely, 2^{122132133313109} is an apocalyptic number.

It is an amenable number.

122132133313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122132133313109 is an equidigital number, since it uses as much as digits as its factorization.

122132133313109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 122132133313109 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred nine".