137213 has 4 divisors (see below), whose sum is σ = 140448. Its totient is φ = 133980.

The previous prime is 137209. The next prime is 137219. The reversal of 137213 is 312731.

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: 312731 = 23 ⋅13597.

It is a cyclic number.

It is not a de Polignac number, because 137213 - 2² = 137209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137191 and 137200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137219) 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, 1553 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (35112).

2¹³⁷²¹³ is an apocalyptic number.

It is an amenable number.

137213 is a deficient number, since it is larger than the sum of its proper divisors (3235).

137213 is an equidigital number, since it uses as much as digits as its factorization.

137213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234.

The product of its digits is 126, while the sum is 17.

The square root of 137213 is about 370.4227314839. The cubic root of 137213 is about 51.5780699230.

Adding to 137213 its reverse (312731), we get a palindrome (449944).

The spelling of 137213 in words is "one hundred thirty-seven thousand, two hundred thirteen".