1013114113073 has 2 divisors, whose sum is σ = 1013114113074. Its totient is φ = 1013114113072.

The previous prime is 1013114113057. The next prime is 1013114113133. The reversal of 1013114113073 is 3703114113101.

1013114113073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 895281193249 + 117832919824 = 946193^2 + 343268^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013114113073 - 2⁴ = 1013114113057 is a prime.

It is a super-2 number, since 2×1013114113073² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013114113013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506557056536 + 506557056537.

It is an arithmetic number, because the mean of its divisors is an integer number (506557056537).

Almost surely, 2^{1013114113073} is an apocalyptic number.

It is an amenable number.

1013114113073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013114113073 is an equidigital number, since it uses as much as digits as its factorization.

1013114113073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 1013114113073 its reverse (3703114113101), we get a palindrome (4716228226174).

The spelling of 1013114113073 in words is "one trillion, thirteen billion, one hundred fourteen million, one hundred thirteen thousand, seventy-three".