137111313 has 4 divisors (see below), whose sum is σ = 182815088. Its totient is φ = 91407540.

The previous prime is 137111311. The next prime is 137111329. The reversal of 137111313 is 313111731.

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: 313111731 = 3 ⋅104370577.

It is not a de Polignac number, because 137111313 - 2¹ = 137111311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137111313.

It is not an unprimeable number, because it can be changed into a prime (137111311) 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, 22851883 + ... + 22851888.

It is an arithmetic number, because the mean of its divisors is an integer number (45703772).

Almost surely, 2^137111313 is an apocalyptic number.

It is an amenable number.

137111313 is a deficient number, since it is larger than the sum of its proper divisors (45703775).

137111313 is an equidigital number, since it uses as much as digits as its factorization.

137111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45703774.

The product of its digits is 189, while the sum is 21.

The square root of 137111313 is about 11709.4540009345. The cubic root of 137111313 is about 515.6532546647.

The spelling of 137111313 in words is "one hundred thirty-seven million, one hundred eleven thousand, three hundred thirteen".