133132203011313 has 384 divisors, whose sum is σ = 242466312591360. Its totient is φ = 69340271616000.

The previous prime is 133132203011299. The next prime is 133132203011383. The reversal of 133132203011313 is 313110302231331.

133132203011313 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 220 + 301 + 131 + 3 = 666.

It is not a de Polignac number, because 133132203011313 - 2⁸ = 133132203011057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133132203011383) 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 383 ways as a sum of consecutive naturals, for example, 25745927218 + ... + 25745932388.

It is an arithmetic number, because the mean of its divisors is an integer number (631422689040).

Almost surely, 2^{133132203011313} is an apocalyptic number.

It is an amenable number.

133132203011313 is a deficient number, since it is larger than the sum of its proper divisors (109334109580047).

133132203011313 is a wasteful number, since it uses less digits than its factorization.

133132203011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133132203011313 its reverse (313110302231331), we get a palindrome (446242505242644).

The spelling of 133132203011313 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, two hundred three million, eleven thousand, three hundred thirteen".