133098137 has 2 divisors, whose sum is σ = 133098138. Its totient is φ = 133098136.

The previous prime is 133098131. The next prime is 133098143. The reversal of 133098137 is 731890331.

It is a balanced prime because it is at equal distance from previous prime (133098131) and next prime (133098143).

It can be written as a sum of positive squares in only one way, i.e., 106172416 + 26925721 = 10304^2 + 5189^2 .

It is an emirp because it is prime and its reverse (731890331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133098137 - 2⁶ = 133098073 is a prime.

It is a super-2 number, since 2×133098137² = 35430228145741538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133098097 and 133098106.

It is not a weakly prime, because it can be changed into another prime (133098131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66549068 + 66549069.

It is an arithmetic number, because the mean of its divisors is an integer number (66549069).

Almost surely, 2^133098137 is an apocalyptic number.

It is an amenable number.

133098137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133098137 is an equidigital number, since it uses as much as digits as its factorization.

133098137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 133098137 is about 11536.8165886435. The cubic root of 133098137 is about 510.5723895155.

The spelling of 133098137 in words is "one hundred thirty-three million, ninety-eight thousand, one hundred thirty-seven".