133213100013201 has 96 divisors (see below), whose sum is σ = 200525988096000. Its totient is φ = 78104413610496.

The previous prime is 133213100013199. The next prime is 133213100013221. The reversal of 133213100013201 is 102310001312331.

It is a happy number.

It is not a de Polignac number, because 133213100013201 - 2¹ = 133213100013199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133213100013221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15804136255 + ... + 15804144683.

It is an arithmetic number, because the mean of its divisors is an integer number (2088812376000).

Almost surely, 2^{133213100013201} is an apocalyptic number.

It is an amenable number.

133213100013201 is a deficient number, since it is larger than the sum of its proper divisors (67312888082799).

133213100013201 is a wasteful number, since it uses less digits than its factorization.

133213100013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133213100013201 its reverse (102310001312331), we get a palindrome (235523101325532).

The spelling of 133213100013201 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred million, thirteen thousand, two hundred one".