1010010113 has 16 divisors (see below), whose sum is σ = 1244691840. Its totient is φ = 800150400.

The previous prime is 1010010091. The next prime is 1010010143. The reversal of 1010010113 is 3110100101.

It is not a de Polignac number, because 1010010113 - 2⁶ = 1010010049 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010113.

It is not an unprimeable number, because it can be changed into a prime (1010010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87158 + ... + 98063.

It is an arithmetic number, because the mean of its divisors is an integer number (77793240).

Almost surely, 2^1010010113 is an apocalyptic number.

It is an amenable number.

1010010113 is a deficient number, since it is larger than the sum of its proper divisors (234681727).

1010010113 is a wasteful number, since it uses less digits than its factorization.

1010010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185288.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1010010113 is about 31780.6562707569. The cubic root of 1010010113 is about 1003.3256322432.

Adding to 1010010113 its reverse (3110100101), we get a palindrome (4120110214).

The spelling of 1010010113 in words is "one billion, ten million, ten thousand, one hundred thirteen".