133302113137 has 2 divisors, whose sum is σ = 133302113138. Its totient is φ = 133302113136.

The previous prime is 133302113093. The next prime is 133302113179. The reversal of 133302113137 is 731311203331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78647154481 + 54654958656 = 280441^2 + 233784^2 .

It is an emirp because it is prime and its reverse (731311203331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133302113137 is a prime.

It is not a weakly prime, because it can be changed into another prime (133392113137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66651056568 + 66651056569.

It is an arithmetic number, because the mean of its divisors is an integer number (66651056569).

Almost surely, 2^133302113137 is an apocalyptic number.

It is an amenable number.

133302113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133302113137 is an equidigital number, since it uses as much as digits as its factorization.

133302113137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 133302113137 its reverse (731311203331), we get a palindrome (864613316468).

The spelling of 133302113137 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirteen thousand, one hundred thirty-seven".