133131311313 has 96 divisors (see below), whose sum is σ = 249146835840. Its totient is φ = 62113443840.

The previous prime is 133131311311. The next prime is 133131311333. The reversal of 133131311313 is 313113131331.

It is not a de Polignac number, because 133131311313 - 2¹ = 133131311311 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133131311311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692193 + ... + 863361.

It is an arithmetic number, because the mean of its divisors is an integer number (2595279540).

Almost surely, 2^133131311313 is an apocalyptic number.

133131311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133131311313 is a deficient number, since it is larger than the sum of its proper divisors (116015524527).

133131311313 is a wasteful number, since it uses less digits than its factorization.

133131311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171247 (or 171240 counting only the distinct ones).

The product of its digits is 729, while the sum is 24.

Adding to 133131311313 its reverse (313113131331), we get a palindrome (446244442644).

It can be divided in two parts, 133131 and 311313, that added together give a palindrome (444444).

The spelling of 133131311313 in words is "one hundred thirty-three billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".