133101331 has 10 divisors (see below), whose sum is σ = 146426660. Its totient is φ = 120987900.

The previous prime is 133101323. The next prime is 133101337.

133101331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133101331 - 2³ = 133101323 is a prime.

It is a super-2 number, since 2×133101331² = 35431928627943122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133101337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10096 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (14642666).

Almost surely, 2^133101331 is an apocalyptic number.

133101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133101331 is a deficient number, since it is larger than the sum of its proper divisors (13325329).

133101331 is an frugal number, since it uses more digits than its factorization.

133101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 133101331 is about 11536.9550142141. The cubic root of 133101331 is about 510.5764736076.

It can be divided in two parts, 13310 and 1331, that added together give a palindrome (14641).

The spelling of 133101331 in words is "one hundred thirty-three million, one hundred one thousand, three hundred thirty-one".