133312311 has 40 divisors (see below), whose sum is σ = 218862864. Its totient is φ = 80196480.

The previous prime is 133312297. The next prime is 133312337. The reversal of 133312311 is 113213331.

It is a happy number.

It is not a de Polignac number, because 133312311 - 2¹⁰ = 133311287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133313311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139411 + ... + 140363.

Almost surely, 2^133312311 is an apocalyptic number.

133312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133312311 is a deficient number, since it is larger than the sum of its proper divisors (85550553).

133312311 is a wasteful number, since it uses less digits than its factorization.

133312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133312311 is about 11546.0950541731. The cubic root of 133312311 is about 510.8461041639.

Adding to 133312311 its reverse (113213331), we get a palindrome (246525642).

The spelling of 133312311 in words is "one hundred thirty-three million, three hundred twelve thousand, three hundred eleven".