101427912778513 has 2 divisors, whose sum is σ = 101427912778514. Its totient is φ = 101427912778512.

The previous prime is 101427912778499. The next prime is 101427912778523. The reversal of 101427912778513 is 315877219724101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65929576808209 + 35498335970304 = 8119703^2 + 5958048^2 .

It is a cyclic number.

It is not a de Polignac number, because 101427912778513 - 2¹³ = 101427912770321 is a prime.

It is not a weakly prime, because it can be changed into another prime (101427912778523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50713956389256 + 50713956389257.

It is an arithmetic number, because the mean of its divisors is an integer number (50713956389257).

Almost surely, 2^{101427912778513} is an apocalyptic number.

It is an amenable number.

101427912778513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101427912778513 is an equidigital number, since it uses as much as digits as its factorization.

101427912778513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5927040, while the sum is 58.

The spelling of 101427912778513 in words is "one hundred one trillion, four hundred twenty-seven billion, nine hundred twelve million, seven hundred seventy-eight thousand, five hundred thirteen".