133264097901 has 18 divisors (see below), whose sum is σ = 211582761390. Its totient is φ = 80766119280.

The previous prime is 133264097887. The next prime is 133264097917. The reversal of 133264097901 is 109790462331.

133264097901 is a `hidden beast` number, since 133 + 26 + 409 + 7 + 90 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104694309225 + 28569788676 = 323565^2 + 169026^2 .

It is not a de Polignac number, because 133264097901 - 2¹⁰ = 133264096877 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133264097921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61185366 + ... + 61187543.

It is an arithmetic number, because the mean of its divisors is an integer number (11754597855).

Almost surely, 2^133264097901 is an apocalyptic number.

133264097901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133264097901 is a deficient number, since it is larger than the sum of its proper divisors (78318663489).

133264097901 is a wasteful number, since it uses less digits than its factorization.

133264097901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122372937 (or 122372923 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 133264097901 in words is "one hundred thirty-three billion, two hundred sixty-four million, ninety-seven thousand, nine hundred one".