10013113110 has 256 divisors, whose sum is σ = 32473405440. Its totient is φ = 1919623680.

The previous prime is 10013113091. The next prime is 10013113133. The reversal of 10013113110 is 1131131001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5074084 + ... + 5076056.

It is an arithmetic number, because the mean of its divisors is an integer number (126849240).

Almost surely, 2^10013113110 is an apocalyptic number.

10013113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236702720).

10013113110 is an abundant number, since it is smaller than the sum of its proper divisors (22460292330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10013113110 is a wasteful number, since it uses less digits than its factorization.

10013113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10013113110 its reverse (1131131001), we get a palindrome (11144244111).

The spelling of 10013113110 in words is "ten billion, thirteen million, one hundred thirteen thousand, one hundred ten".