133252252331 has 8 divisors (see below), whose sum is σ = 146805362928. Its totient is φ = 119939020000.

The previous prime is 133252252319. The next prime is 133252252409.

133252252331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133252252331 is a prime.

It is a super-2 number, since 2×133252252331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133252252831) 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 7 ways as a sum of consecutive naturals, for example, 59968400 + ... + 59970621.

It is an arithmetic number, because the mean of its divisors is an integer number (18350670366).

Almost surely, 2^133252252331 is an apocalyptic number.

133252252331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133252252331 is a deficient number, since it is larger than the sum of its proper divisors (13553110597).

133252252331 is a wasteful number, since it uses less digits than its factorization.

133252252331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119939133.

The product of its digits is 32400, while the sum is 32.

It can be divided in two parts, 133252 and 252331, that added together give a palindrome (385583).

The spelling of 133252252331 in words is "one hundred thirty-three billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred thirty-one".