133332233331 has 64 divisors (see below), whose sum is σ = 201969008640. Its totient is φ = 77534496000.

The previous prime is 133332233317. The next prime is 133332233339.

It is a happy number.

133332233331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133332233331 - 2²⁵ = 133298678899 is a prime.

It is a super-2 number, since 2×133332233331² (a number of 23 digits) contains 22 as substring.

133332233331 is a modest number, since divided by 233331 gives 133332 as remainder.

It is not an unprimeable number, because it can be changed into a prime (133332233339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28964076 + ... + 28968678.

It is an arithmetic number, because the mean of its divisors is an integer number (3155765760).

Almost surely, 2^133332233331 is an apocalyptic number.

133332233331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133332233331 is a deficient number, since it is larger than the sum of its proper divisors (68636775309).

133332233331 is a wasteful number, since it uses less digits than its factorization.

133332233331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008.

The product of its digits is 26244, while the sum is 30.

It can be divided in two parts, 133332 and 233331, that added together give a palindrome (366663).

The spelling of 133332233331 in words is "one hundred thirty-three billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred thirty-one".