133180578271321 has 27 divisors (see below), whose sum is σ = 155504145263007. Its totient is φ = 113729148748320.

The previous prime is 133180578271319. The next prime is 133180578271399. The reversal of 133180578271321 is 123172875081331.

The square root of 133180578271321 is 11540389.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 90002011589721 + 43178566681600 = 9486939^2 + 6571040^2 .

It is not a de Polignac number, because 133180578271321 - 2¹ = 133180578271319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133180578271421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22699942230 + ... + 22699948096.

Almost surely, 2^{133180578271321} is an apocalyptic number.

133180578271321 is the 11540389-th square number.

133180578271321 is the 5770195-th centered octagonal number.

It is an amenable number.

133180578271321 is a deficient number, since it is larger than the sum of its proper divisors (22323566991686).

133180578271321 is an frugal number, since it uses more digits than its factorization.

133180578271321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 133180578271321 in words is "one hundred thirty-three trillion, one hundred eighty billion, five hundred seventy-eight million, two hundred seventy-one thousand, three hundred twenty-one".