127113 has 8 divisors (see below), whose sum is σ = 193728. Its totient is φ = 72624.

The previous prime is 127103. The next prime is 127123. The reversal of 127113 is 311721.

It is an interprime number because it is at equal distance from previous prime (127103) and next prime (127123).

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

It is not a de Polignac number, because 127113 - 2⁵ = 127081 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 127092 and 127101.

It is not an unprimeable number, because it can be changed into a prime (127103) 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, 3006 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (24216).

2¹²⁷¹¹³ is an apocalyptic number.

It is an amenable number.

127113 is a deficient number, since it is larger than the sum of its proper divisors (66615).

127113 is an equidigital number, since it uses as much as digits as its factorization.

127113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063.

The product of its digits is 42, while the sum is 15.

The square root of 127113 is about 356.5291011965. The cubic root of 127113 is about 50.2801606021.

Adding to 127113 its reverse (311721), we get a palindrome (438834).

The spelling of 127113 in words is "one hundred twenty-seven thousand, one hundred thirteen".