33120113222137 has 2 divisors, whose sum is σ = 33120113222138. Its totient is φ = 33120113222136.

The previous prime is 33120113222113. The next prime is 33120113222309. The reversal of 33120113222137 is 73122231102133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21600408845376 + 11519704376761 = 4647624^2 + 3394069^2 .

It is a cyclic number.

It is not a de Polignac number, because 33120113222137 - 2¹⁹ = 33120112697849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33120113222099 and 33120113222108.

It is not a weakly prime, because it can be changed into another prime (33120113622137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560056611068 + 16560056611069.

It is an arithmetic number, because the mean of its divisors is an integer number (16560056611069).

Almost surely, 2^{33120113222137} is an apocalyptic number.

It is an amenable number.

33120113222137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120113222137 is an equidigital number, since it uses as much as digits as its factorization.

33120113222137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 33120113222137 in words is "thirty-three trillion, one hundred twenty billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred thirty-seven".