127713510004300 has 144 divisors (see below), whose sum is σ = 312313790638080. Its totient is φ = 44910277056000.

The previous prime is 127713510004271. The next prime is 127713510004313. The reversal of 127713510004300 is 3400015317721.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45244816 + ... + 47984584.

It is an arithmetic number, because the mean of its divisors is an integer number (2168845768320).

Almost surely, 2^{127713510004300} is an apocalyptic number.

127713510004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127713510004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156156895319040).

127713510004300 is an abundant number, since it is smaller than the sum of its proper divisors (184600280633780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127713510004300 is a wasteful number, since it uses less digits than its factorization.

127713510004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741192 (or 2741185 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 127713510004300 in words is "one hundred twenty-seven trillion, seven hundred thirteen billion, five hundred ten million, four thousand, three hundred".