133013312320201 has 32 divisors (see below), whose sum is σ = 140566673122848. Its totient is φ = 125732208476160.

The previous prime is 133013312320193. The next prime is 133013312320277. The reversal of 133013312320201 is 102023213310331.

It can be written as a sum of positive squares in 16 ways, for example, as 23218520473600 + 109794791846601 = 4818560^2 + 10478301^2 .

It is a cyclic number.

It is not a de Polignac number, because 133013312320201 - 2³ = 133013312320193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013312320501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95636491 + ... + 97017343.

It is an arithmetic number, because the mean of its divisors is an integer number (4392708535089).

Almost surely, 2^{133013312320201} is an apocalyptic number.

It is an amenable number.

133013312320201 is a deficient number, since it is larger than the sum of its proper divisors (7553360802647).

133013312320201 is a wasteful number, since it uses less digits than its factorization.

133013312320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381501.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133013312320201 its reverse (102023213310331), we get a palindrome (235036525630532).

The spelling of 133013312320201 in words is "one hundred thirty-three trillion, thirteen billion, three hundred twelve million, three hundred twenty thousand, two hundred one".