133321300131131 has 16 divisors (see below), whose sum is σ = 155488562534400. Its totient is φ = 114266706762600.

The previous prime is 133321300131121. The next prime is 133321300131163. The reversal of 133321300131131 is 131131003123331.

It is a de Polignac number, because none of the positive numbers 2^k-133321300131131 is a prime.

It is a super-3 number, since 3×133321300131131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133321300131131.

It is not an unprimeable number, because it can be changed into a prime (133321300131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10267241 + ... + 19288826.

It is an arithmetic number, because the mean of its divisors is an integer number (9718035158400).

Almost surely, 2^{133321300131131} is an apocalyptic number.

133321300131131 is a deficient number, since it is larger than the sum of its proper divisors (22167262403269).

133321300131131 is an equidigital number, since it uses as much as digits as its factorization.

133321300131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29569239 (or 29569225 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 133321300131131 its reverse (131131003123331), we get a palindrome (264452303254462).

The spelling of 133321300131131 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred million, one hundred thirty-one thousand, one hundred thirty-one".