127400013 has 64 divisors (see below), whose sum is σ = 217620480. Its totient is φ = 73047744.

The previous prime is 127400003. The next prime is 127400017. The reversal of 127400013 is 310004721.

It is not a de Polignac number, because 127400013 - 2⁶ = 127399949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127400017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346956 + ... + 347322.

It is an arithmetic number, because the mean of its divisors is an integer number (3400320).

Almost surely, 2^127400013 is an apocalyptic number.

127400013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127400013 is a deficient number, since it is larger than the sum of its proper divisors (90220467).

127400013 is a wasteful number, since it uses less digits than its factorization.

127400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 127400013 is about 11287.1614234935. The cubic root of 127400013 is about 503.1797528109.

Adding to 127400013 its reverse (310004721), we get a palindrome (437404734).

The spelling of 127400013 in words is "one hundred twenty-seven million, four hundred thousand, thirteen".