137113 has 4 divisors (see below), whose sum is σ = 141568. Its totient is φ = 132660.

The previous prime is 137089. The next prime is 137117. The reversal of 137113 is 311731.

It is a happy number.

137113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, and also an emirpimes, since its reverse is a distinct semiprime: 311731 = 7 ⋅44533.

It is a cyclic number.

It is not a de Polignac number, because 137113 - 2⁹ = 136601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2181 + ... + 2242.

It is an arithmetic number, because the mean of its divisors is an integer number (35392).

2¹³⁷¹¹³ is an apocalyptic number.

It is an amenable number.

137113 is a deficient number, since it is larger than the sum of its proper divisors (4455).

137113 is an equidigital number, since it uses as much as digits as its factorization.

137113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454.

The product of its digits is 63, while the sum is 16.

The square root of 137113 is about 370.2877259646. The cubic root of 137113 is about 51.5655369500.

Adding to 137113 its reverse (311731), we get a palindrome (448844).

The spelling of 137113 in words is "one hundred thirty-seven thousand, one hundred thirteen".