127382013 has 24 divisors (see below), whose sum is σ = 201146400. Its totient is φ = 77038560.

The previous prime is 127381999. The next prime is 127382029. The reversal of 127382013 is 310283721.

It is not a de Polignac number, because 127382013 - 2¹⁰ = 127380989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127382053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59638 + ... + 61736.

It is an arithmetic number, because the mean of its divisors is an integer number (8381100).

Almost surely, 2^127382013 is an apocalyptic number.

It is an amenable number.

127382013 is a deficient number, since it is larger than the sum of its proper divisors (73764387).

127382013 is a wasteful number, since it uses less digits than its factorization.

127382013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 127382013 is about 11286.3640292168. The cubic root of 127382013 is about 503.1560540636.

The spelling of 127382013 in words is "one hundred twenty-seven million, three hundred eighty-two thousand, thirteen".