113313012120127 has 2 divisors, whose sum is σ = 113313012120128. Its totient is φ = 113313012120126.

The previous prime is 113313012120047. The next prime is 113313012120197. The reversal of 113313012120127 is 721021210313311.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 113313012120127 - 2⁷ = 113313012119999 is a prime.

It is a super-2 number, since 2×113313012120127² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113313012120095 and 113313012120104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113313012120197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656506060063 + 56656506060064.

It is an arithmetic number, because the mean of its divisors is an integer number (56656506060064).

Almost surely, 2^{113313012120127} is an apocalyptic number.

113313012120127 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313012120127 is an equidigital number, since it uses as much as digits as its factorization.

113313012120127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 113313012120127 its reverse (721021210313311), we get a palindrome (834334222433438).

The spelling of 113313012120127 in words is "one hundred thirteen trillion, three hundred thirteen billion, twelve million, one hundred twenty thousand, one hundred twenty-seven".