127233523705313 has 2 divisors, whose sum is σ = 127233523705314. Its totient is φ = 127233523705312.

The previous prime is 127233523705307. The next prime is 127233523705363. The reversal of 127233523705313 is 313507325332721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96662875465984 + 30570648239329 = 9831728^2 + 5529073^2 .

It is a cyclic number.

It is not a de Polignac number, because 127233523705313 - 2³⁴ = 127216343836129 is a prime.

It is a super-2 number, since 2×127233523705313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127233523705363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63616761852656 + 63616761852657.

It is an arithmetic number, because the mean of its divisors is an integer number (63616761852657).

Almost surely, 2^{127233523705313} is an apocalyptic number.

It is an amenable number.

127233523705313 is a deficient number, since it is larger than the sum of its proper divisors (1).

127233523705313 is an equidigital number, since it uses as much as digits as its factorization.

127233523705313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2381400, while the sum is 47.

The spelling of 127233523705313 in words is "one hundred twenty-seven trillion, two hundred thirty-three billion, five hundred twenty-three million, seven hundred five thousand, three hundred thirteen".