133150720321 has 24 divisors (see below), whose sum is σ = 146125043064. Its totient is φ = 120903552000.

The previous prime is 133150720309. The next prime is 133150720343. The reversal of 133150720321 is 123027051331.

It can be written as a sum of positive squares in 12 ways, for example, as 264225025 + 132886495296 = 16255^2 + 364536^2 .

It is not a de Polignac number, because 133150720321 - 2⁷ = 133150720193 is a prime.

It is a super-2 number, since 2×133150720321² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133150720321.

It is not an unprimeable number, because it can be changed into a prime (133150720361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24202071 + ... + 24207571.

It is an arithmetic number, because the mean of its divisors is an integer number (6088543461).

Almost surely, 2^133150720321 is an apocalyptic number.

It is an amenable number.

133150720321 is a deficient number, since it is larger than the sum of its proper divisors (12974322743).

133150720321 is a wasteful number, since it uses less digits than its factorization.

133150720321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 133150720321 its reverse (123027051331), we get a palindrome (256177771652).

It can be divided in two parts, 133150 and 720321, that added together give a triangular number (853471 = T₁₃₀₆).

The spelling of 133150720321 in words is "one hundred thirty-three billion, one hundred fifty million, seven hundred twenty thousand, three hundred twenty-one".