133604406331 has 32 divisors (see below), whose sum is σ = 151343672832. Its totient is φ = 116884373760.

The previous prime is 133604406323. The next prime is 133604406347.

133604406331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133604406331 - 2³ = 133604406323 is a prime.

It is a super-2 number, since 2×133604406331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133604406301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50169306 + ... + 50171968.

It is an arithmetic number, because the mean of its divisors is an integer number (4729489776).

Almost surely, 2^133604406331 is an apocalyptic number.

133604406331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133604406331 is a deficient number, since it is larger than the sum of its proper divisors (17739266501).

133604406331 is a wasteful number, since it uses less digits than its factorization.

133604406331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243.

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 133604 and 406331, that added together give a palindrome (539935).

The spelling of 133604406331 in words is "one hundred thirty-three billion, six hundred four million, four hundred six thousand, three hundred thirty-one".