137033313 has 4 divisors (see below), whose sum is σ = 182711088. Its totient is φ = 91355540.

The previous prime is 137033297. The next prime is 137033327. The reversal of 137033313 is 313330731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 137033313 - 2⁴ = 137033297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137033213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22838883 + ... + 22838888.

It is an arithmetic number, because the mean of its divisors is an integer number (45677772).

Almost surely, 2^137033313 is an apocalyptic number.

It is an amenable number.

137033313 is a deficient number, since it is larger than the sum of its proper divisors (45677775).

137033313 is an equidigital number, since it uses as much as digits as its factorization.

137033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45677774.

The product of its (nonzero) digits is 1701, while the sum is 24.

The square root of 137033313 is about 11706.1228850546. The cubic root of 137033313 is about 515.5554543632. Note that the first 3 decimals are identical.

The spelling of 137033313 in words is "one hundred thirty-seven million, thirty-three thousand, three hundred thirteen".