133312432000313 has 8 divisors (see below), whose sum is σ = 134827580071656. Its totient is φ = 131803168000000.

The previous prime is 133312432000211. The next prime is 133312432000439. The reversal of 133312432000313 is 313000234213331.

It can be written as a sum of positive squares in 4 ways, for example, as 62370000811024 + 70942431189289 = 7897468^2 + 8422733^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133312432000313 - 2¹⁶ = 133312431934777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133312432050313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470972188 + ... + 1471062813.

It is an arithmetic number, because the mean of its divisors is an integer number (16853447508957).

Almost surely, 2^{133312432000313} is an apocalyptic number.

It is an amenable number.

133312432000313 is a deficient number, since it is larger than the sum of its proper divisors (1515148071343).

133312432000313 is a wasteful number, since it uses less digits than its factorization.

133312432000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942035515.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133312432000313 its reverse (313000234213331), we get a palindrome (446312666213644).

The spelling of 133312432000313 in words is "one hundred thirty-three trillion, three hundred twelve billion, four hundred thirty-two million, three hundred thirteen", and thus it is an aban number.