133133131013 has 6 divisors (see below), whose sum is σ = 134321739474. Its totient is φ = 131954949056.

The previous prime is 133133131007. The next prime is 133133131031. The reversal of 133133131013 is 310131331331.

It can be written as a sum of positive squares in 3 ways, for example, as 12562374724 + 120570756289 = 112082^2 + 347233^2 .

It is not a de Polignac number, because 133133131013 - 2⁴ = 133133130997 is a prime.

It is a super-3 number, since 3×133133131013³ (a number of 34 digits) contains 333 as substring.

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 133133131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133131003) 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 5 ways as a sum of consecutive naturals, for example, 5200370 + ... + 5225907.

It is an arithmetic number, because the mean of its divisors is an integer number (22386956579).

Almost surely, 2^133133131013 is an apocalyptic number.

It is an amenable number.

133133131013 is a deficient number, since it is larger than the sum of its proper divisors (1188608461).

133133131013 is an equidigital number, since it uses as much as digits as its factorization.

133133131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426503 (or 10426390 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 133133131013 its reverse (310131331331), we get a palindrome (443264462344).

The spelling of 133133131013 in words is "one hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-one thousand, thirteen".