127545213332013 has 16 divisors (see below), whose sum is σ = 170474472432000. Its totient is φ = 84823109153280.

The previous prime is 127545213331993. The next prime is 127545213332023. The reversal of 127545213332013 is 310233312545721.

It is not a de Polignac number, because 127545213332013 - 2²⁵ = 127545179777581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127545213332023) 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 15 ways as a sum of consecutive naturals, for example, 765013 + ... + 15989861.

It is an arithmetic number, because the mean of its divisors is an integer number (10654654527000).

Almost surely, 2^{127545213332013} is an apocalyptic number.

It is an amenable number.

127545213332013 is a deficient number, since it is larger than the sum of its proper divisors (42929259099987).

127545213332013 is a wasteful number, since it uses less digits than its factorization.

127545213332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231652.

The product of its (nonzero) digits is 453600, while the sum is 42.

Adding to 127545213332013 its reverse (310233312545721), we get a palindrome (437778525877734).

The spelling of 127545213332013 in words is "one hundred twenty-seven trillion, five hundred forty-five billion, two hundred thirteen million, three hundred thirty-two thousand, thirteen".