133388993 has 2 divisors, whose sum is σ = 133388994. Its totient is φ = 133388992.

The previous prime is 133388977. The next prime is 133388999. The reversal of 133388993 is 399883331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132894784 + 494209 = 11528^2 + 703^2 .

It is an emirp because it is prime and its reverse (399883331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133388993 - 2⁴ = 133388977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133388999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66694496 + 66694497.

It is an arithmetic number, because the mean of its divisors is an integer number (66694497).

Almost surely, 2^133388993 is an apocalyptic number.

It is an amenable number.

133388993 is a deficient number, since it is larger than the sum of its proper divisors (1).

133388993 is an equidigital number, since it uses as much as digits as its factorization.

133388993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 419904, while the sum is 47.

The square root of 133388993 is about 11549.4152665838. The cubic root of 133388993 is about 510.9440325855.

The spelling of 133388993 in words is "one hundred thirty-three million, three hundred eighty-eight thousand, nine hundred ninety-three".