133312013123133 has 32 divisors (see below), whose sum is σ = 192110703603840. Its totient is φ = 81743267232000.

The previous prime is 133312013123089. The next prime is 133312013123141. The reversal of 133312013123133 is 331321310213331.

It is not a de Polignac number, because 133312013123133 - 2¹⁷ = 133312012992061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133312013123133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312013123033) 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, 61799538 + ... + 63920316.

It is an arithmetic number, because the mean of its divisors is an integer number (6003459487620).

Almost surely, 2^{133312013123133} is an apocalyptic number.

133312013123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133312013123133 is a deficient number, since it is larger than the sum of its proper divisors (58798690480707).

133312013123133 is a wasteful number, since it uses less digits than its factorization.

133312013123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126589.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 133312013123133 its reverse (331321310213331), we get a palindrome (464633323336464).

The spelling of 133312013123133 in words is "one hundred thirty-three trillion, three hundred twelve billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-three".