133131001 has 2 divisors, whose sum is σ = 133131002. Its totient is φ = 133131000.

The previous prime is 133130993. The next prime is 133131007. The reversal of 133131001 is 100131331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114468601 + 18662400 = 10699^2 + 4320^2 .

It is an emirp because it is prime and its reverse (100131331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133131001 - 2³ = 133130993 is a prime.

It is not a weakly prime, because it can be changed into another prime (133131007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565500 + 66565501.

It is an arithmetic number, because the mean of its divisors is an integer number (66565501).

Almost surely, 2^133131001 is an apocalyptic number.

It is an amenable number.

133131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131001 is an equidigital number, since it uses as much as digits as its factorization.

133131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 133131001 is about 11538.2408104529. The cubic root of 133131001 is about 510.6144088118.

Adding to 133131001 its reverse (100131331), we get a palindrome (233262332).

The spelling of 133131001 in words is "one hundred thirty-three million, one hundred thirty-one thousand, one".