137320313 has 8 divisors (see below), whose sum is σ = 147995400. Its totient is φ = 126661248.

The previous prime is 137320303. The next prime is 137320349. The reversal of 137320313 is 313023731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16386304 + 120934009 = 4048^2 + 10997^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137320313 - 2¹² = 137316217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137320303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18533 + ... + 24861.

It is an arithmetic number, because the mean of its divisors is an integer number (18499425).

Almost surely, 2^137320313 is an apocalyptic number.

137320313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137320313 is a deficient number, since it is larger than the sum of its proper divisors (10675087).

137320313 is a wasteful number, since it uses less digits than its factorization.

137320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 137320313 is about 11718.3750153338. The cubic root of 137320313 is about 515.9151266070.

The spelling of 137320313 in words is "one hundred thirty-seven million, three hundred twenty thousand, three hundred thirteen".