133013137 has 2 divisors, whose sum is σ = 133013138. Its totient is φ = 133013136.

The previous prime is 133013119. The next prime is 133013141. The reversal of 133013137 is 731310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125417601 + 7595536 = 11199^2 + 2756^2 .

It is a cyclic number.

It is not a de Polignac number, because 133013137 - 2⁷ = 133013009 is a prime.

It is a super-2 number, since 2×133013137² = 35384989229161538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133013197) 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, 66506568 + 66506569.

It is an arithmetic number, because the mean of its divisors is an integer number (66506569).

Almost surely, 2^133013137 is an apocalyptic number.

It is an amenable number.

133013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013137 is an equidigital number, since it uses as much as digits as its factorization.

133013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 133013137 is about 11533.1321417905. The cubic root of 133013137 is about 510.4636780141.

Adding to 133013137 its reverse (731310331), we get a palindrome (864323468).

The spelling of 133013137 in words is "one hundred thirty-three million, thirteen thousand, one hundred thirty-seven".