133303552521201 has 48 divisors (see below), whose sum is σ = 199270437125760. Its totient is φ = 85769607006720.

The previous prime is 133303552521149. The next prime is 133303552521319. The reversal of 133303552521201 is 102125255303331.

133303552521201 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 3 + 5 + 525 + 2 + 120 + 1 = 666.

It is not a de Polignac number, because 133303552521201 - 2⁹ = 133303552520689 is a prime.

It is a super-2 number, since 2×133303552521201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133303552021201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9308250121 + ... + 9308264441.

It is an arithmetic number, because the mean of its divisors is an integer number (4151467440120).

Almost surely, 2^{133303552521201} is an apocalyptic number.

It is an amenable number.

133303552521201 is a deficient number, since it is larger than the sum of its proper divisors (65966884604559).

133303552521201 is a wasteful number, since it uses less digits than its factorization.

133303552521201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26406 (or 26403 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 133303552521201 in words is "one hundred thirty-three trillion, three hundred three billion, five hundred fifty-two million, five hundred twenty-one thousand, two hundred one".