133007131 has 2 divisors, whose sum is σ = 133007132. Its totient is φ = 133007130.

The previous prime is 133007123. The next prime is 133007179. The reversal of 133007131 is 131700331.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 133007131 - 2³ = 133007123 is a prime.

It is a super-2 number, since 2×133007131² = 35381793793702322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133007099 and 133007108.

It is not a weakly prime, because it can be changed into another prime (133007101) 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 as a sum of consecutive naturals, namely, 66503565 + 66503566.

It is an arithmetic number, because the mean of its divisors is an integer number (66503566).

Almost surely, 2^133007131 is an apocalyptic number.

133007131 is a deficient number, since it is larger than the sum of its proper divisors (1).

133007131 is an equidigital number, since it uses as much as digits as its factorization.

133007131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 133007131 is about 11532.8717585864. The cubic root of 133007131 is about 510.4559948357.

Adding to 133007131 its reverse (131700331), we get a palindrome (264707462).

The spelling of 133007131 in words is "one hundred thirty-three million, seven thousand, one hundred thirty-one".