133312444430013 has 36 divisors (see below), whose sum is σ = 197918225482068. Its totient is φ = 86468236888320.

The previous prime is 133312444430003. The next prime is 133312444430071. The reversal of 133312444430013 is 310034444213331.

133312444430013 is a `hidden beast` number, since 1 + 3 + 331 + 2 + 4 + 4 + 4 + 4 + 300 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104537115684 + 133207907314329 = 323322^2 + 11541573^2 .

It is not a de Polignac number, because 133312444430013 - 2²⁹ = 133311907559101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133312444430013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312444430003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233974633 + ... + 234543713.

It is an arithmetic number, because the mean of its divisors is an integer number (5497728485613).

Almost surely, 2^{133312444430013} is an apocalyptic number.

It is an amenable number.

133312444430013 is a deficient number, since it is larger than the sum of its proper divisors (64605781052055).

133312444430013 is a wasteful number, since it uses less digits than its factorization.

133312444430013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588174 (or 588134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 133312444430013 its reverse (310034444213331), we get a palindrome (443346888643344).

The spelling of 133312444430013 in words is "one hundred thirty-three trillion, three hundred twelve billion, four hundred forty-four million, four hundred thirty thousand, thirteen".