113014201381129 has 2 divisors, whose sum is σ = 113014201381130. Its totient is φ = 113014201381128.

The previous prime is 113014201381127. The next prime is 113014201381153. The reversal of 113014201381129 is 921183102410311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83662998975504 + 29351202405625 = 9146748^2 + 5417675^2 .

It is a cyclic number.

It is not a de Polignac number, because 113014201381129 - 2¹ = 113014201381127 is a prime.

It is a super-2 number, since 2×113014201381129² (a number of 29 digits) contains 22 as substring.

Together with 113014201381127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (113014201381127) 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, 56507100690564 + 56507100690565.

It is an arithmetic number, because the mean of its divisors is an integer number (56507100690565).

Almost surely, 2^{113014201381129} is an apocalyptic number.

It is an amenable number.

113014201381129 is a deficient number, since it is larger than the sum of its proper divisors (1).

113014201381129 is an equidigital number, since it uses as much as digits as its factorization.

113014201381129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 113014201381129 in words is "one hundred thirteen trillion, fourteen billion, two hundred one million, three hundred eighty-one thousand, one hundred twenty-nine".