1012010012113 has 8 divisors (see below), whose sum is σ = 1039662072360. Its totient is φ = 984373764480.

The previous prime is 1012010012089. The next prime is 1012010012129. The reversal of 1012010012113 is 3112100102101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88127640769 + 923882371344 = 296863^2 + 961188^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012010012113 - 2²⁹ = 1011473141201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012010012093 and 1012010012102.

It is not an unprimeable number, because it can be changed into a prime (1012010012183) 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 in 7 ways as a sum of consecutive naturals, for example, 3823348 + ... + 4079461.

It is an arithmetic number, because the mean of its divisors is an integer number (129957759045).

Almost surely, 2^{1012010012113} is an apocalyptic number.

It is an amenable number.

1012010012113 is a deficient number, since it is larger than the sum of its proper divisors (27652060247).

1012010012113 is an equidigital number, since it uses as much as digits as its factorization.

1012010012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906307.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1012010012113 its reverse (3112100102101), we get a palindrome (4124110114214).

The spelling of 1012010012113 in words is "one trillion, twelve billion, ten million, twelve thousand, one hundred thirteen".