133100122112329 has 2 divisors, whose sum is σ = 133100122112330. Its totient is φ = 133100122112328.

The previous prime is 133100122112303. The next prime is 133100122112381. The reversal of 133100122112329 is 923211221001331.

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., 133061646505225 + 38475607104 = 11535235^2 + 196152^2 .

It is a cyclic number.

It is not a de Polignac number, because 133100122112329 - 2¹³ = 133100122104137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133100122112329.

It is not a weakly prime, because it can be changed into another prime (133100122112429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550061056164 + 66550061056165.

It is an arithmetic number, because the mean of its divisors is an integer number (66550061056165).

Almost surely, 2^{133100122112329} is an apocalyptic number.

It is an amenable number.

133100122112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

133100122112329 is an equidigital number, since it uses as much as digits as its factorization.

133100122112329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 133100122112329 in words is "one hundred thirty-three trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, three hundred twenty-nine".