133163545201801 has 81 divisors (see below), whose sum is σ = 148733635142911. Its totient is φ = 119194070668288.

The previous prime is 133163545201793. The next prime is 133163545201879. The reversal of 133163545201801 is 108102545361331.

The square root of 133163545201801 is 11539651.

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

It can be written as a sum of positive squares in 13 ways, for example, as 68176149903225 + 64987395298576 = 8256885^2 + 8061476^2 .

It is not a de Polignac number, because 133163545201801 - 2³ = 133163545201793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133163545201891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 506325266796 + ... + 506325267058.

Almost surely, 2^{133163545201801} is an apocalyptic number.

133163545201801 is the 11539651-st square number.

133163545201801 is the 5769826-th centered octagonal number.

It is an amenable number.

133163545201801 is a deficient number, since it is larger than the sum of its proper divisors (15570089941110).

133163545201801 is an frugal number, since it uses more digits than its factorization.

133163545201801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 133163545201801 in words is "one hundred thirty-three trillion, one hundred sixty-three billion, five hundred forty-five million, two hundred one thousand, eight hundred one".