133431310233 has 64 divisors (see below), whose sum is σ = 216528256000. Its totient is φ = 80714320128.

The previous prime is 133431310219. The next prime is 133431310267. The reversal of 133431310233 is 332013134331.

133431310233 is a `hidden beast` number, since 1 + 3 + 343 + 1 + 310 + 2 + 3 + 3 = 666.

It is not a de Polignac number, because 133431310233 - 2²¹ = 133429213081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133431310197 and 133431310206.

It is not an unprimeable number, because it can be changed into a prime (133431312233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6339435 + ... + 6360447.

It is an arithmetic number, because the mean of its divisors is an integer number (3383254000).

Almost surely, 2^133431310233 is an apocalyptic number.

133431310233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133431310233 is a deficient number, since it is larger than the sum of its proper divisors (83096945767).

133431310233 is a wasteful number, since it uses less digits than its factorization.

133431310233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21343 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133431310233 its reverse (332013134331), we get a palindrome (465444444564).

The spelling of 133431310233 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred ten thousand, two hundred thirty-three".