133002320013 has 12 divisors (see below), whose sum is σ = 198739099260. Its totient is φ = 85610688576.

The previous prime is 133002319991. The next prime is 133002320021. The reversal of 133002320013 is 310023200331.

133002320013 is a `hidden beast` number, since 1 + 330 + 0 + 2 + 320 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65893863204 + 67108456809 = 256698^2 + 259053^2 .

It is not a de Polignac number, because 133002320013 - 2⁵ = 133002319981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002320513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254793456 + ... + 254793977.

It is an arithmetic number, because the mean of its divisors is an integer number (16561591605).

Almost surely, 2^133002320013 is an apocalyptic number.

It is an amenable number.

133002320013 is a deficient number, since it is larger than the sum of its proper divisors (65736779247).

133002320013 is a wasteful number, since it uses less digits than its factorization.

133002320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509587468 (or 509587465 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133002320013 its reverse (310023200331), we get a palindrome (443025520344).

The spelling of 133002320013 in words is "one hundred thirty-three billion, two million, three hundred twenty thousand, thirteen".