133113201001073 has 2 divisors, whose sum is σ = 133113201001074. Its totient is φ = 133113201001072.

The previous prime is 133113201001049. The next prime is 133113201001127. The reversal of 133113201001073 is 370100102311331.

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., 127042925054224 + 6070275946849 = 11271332^2 + 2463793^2 .

It is a cyclic number.

It is not a de Polignac number, because 133113201001073 - 2³⁴ = 133096021131889 is a prime.

It is not a weakly prime, because it can be changed into another prime (133113201001373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556600500536 + 66556600500537.

It is an arithmetic number, because the mean of its divisors is an integer number (66556600500537).

Almost surely, 2^{133113201001073} is an apocalyptic number.

It is an amenable number.

133113201001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

133113201001073 is an equidigital number, since it uses as much as digits as its factorization.

133113201001073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The spelling of 133113201001073 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred one million, one thousand, seventy-three".