133403222304331 has 16 divisors (see below), whose sum is σ = 161429520360960. Its totient is φ = 107619132216960.

The previous prime is 133403222304283. The next prime is 133403222304353.

It is a happy number.

133403222304331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133403222304331 - 2²⁷ = 133403088086603 is a prime.

It is a super-4 number, since 4×133403222304331⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133403222302331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54764026 + ... + 57148096.

It is an arithmetic number, because the mean of its divisors is an integer number (10089345022560).

Almost surely, 2^{133403222304331} is an apocalyptic number.

133403222304331 is a deficient number, since it is larger than the sum of its proper divisors (28026298056629).

133403222304331 is a wasteful number, since it uses less digits than its factorization.

133403222304331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854314.

The product of its (nonzero) digits is 93312, while the sum is 34.

The spelling of 133403222304331 in words is "one hundred thirty-three trillion, four hundred three billion, two hundred twenty-two million, three hundred four thousand, three hundred thirty-one".