127565717700213 has 128 divisors (see below), whose sum is σ = 206063487221760. Its totient is φ = 77528693859840.

The previous prime is 127565717700203. The next prime is 127565717700217. The reversal of 127565717700213 is 312007717565721.

It is a happy number.

127565717700213 is a `hidden beast` number, since 1 + 2 + 7 + 56 + 571 + 7 + 7 + 0 + 0 + 2 + 13 = 666.

It is not a de Polignac number, because 127565717700213 - 2¹⁴ = 127565717683829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127565717700213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127565717700217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22336841428 + ... + 22336847138.

It is an arithmetic number, because the mean of its divisors is an integer number (1609870993920).

Almost surely, 2^{127565717700213} is an apocalyptic number.

127565717700213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127565717700213 is a deficient number, since it is larger than the sum of its proper divisors (78497769521547).

127565717700213 is a wasteful number, since it uses less digits than its factorization.

127565717700213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 127565717700213 in words is "one hundred twenty-seven trillion, five hundred sixty-five billion, seven hundred seventeen million, seven hundred thousand, two hundred thirteen".