133301223313013 has 12 divisors (see below), whose sum is σ = 155070617157612. Its totient is φ = 114253822811520.

The previous prime is 133301223312997. The next prime is 133301223313079. The reversal of 133301223313013 is 310313322103331.

It can be written as a sum of positive squares in 2 ways, for example, as 78362560221169 + 54938663091844 = 8852263^2 + 7412062^2 .

It is not a de Polignac number, because 133301223313013 - 2⁴ = 133301223312997 is a prime.

It is a super-2 number, since 2×133301223313013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301223319013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50712170 + ... + 53275947.

It is an arithmetic number, because the mean of its divisors is an integer number (12922551429801).

Almost surely, 2^{133301223313013} is an apocalyptic number.

It is an amenable number.

133301223313013 is a deficient number, since it is larger than the sum of its proper divisors (21769393844599).

133301223313013 is a wasteful number, since it uses less digits than its factorization.

133301223313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104014292 (or 104014285 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 133301223313013 its reverse (310313322103331), we get a palindrome (443614545416344).

The spelling of 133301223313013 in words is "one hundred thirty-three trillion, three hundred one billion, two hundred twenty-three million, three hundred thirteen thousand, thirteen".