127013 has 4 divisors (see below), whose sum is σ = 127980. Its totient is φ = 126048.

The previous prime is 126989. The next prime is 127031. The reversal of 127013 is 310721.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 49729 = 278^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 127013 - 2⁶ = 126949 is a prime.

It is a super-2 number, since 2×127013² = 32264604338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127033) 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, 248 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (31995).

2¹²⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

127013 is a deficient number, since it is larger than the sum of its proper divisors (967).

127013 is an equidigital number, since it uses as much as digits as its factorization.

127013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 127013 is about 356.3888325972. The cubic root of 127013 is about 50.2669719821.

Adding to 127013 its reverse (310721), we get a palindrome (437734).

The spelling of 127013 in words is "one hundred twenty-seven thousand, thirteen".