10013003136 has 256 divisors, whose sum is σ = 30412972800. Its totient is φ = 3242004480.

The previous prime is 10013003113. The next prime is 10013003141. The reversal of 10013003136 is 63130031001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19218556 + ... + 19219076.

It is an arithmetic number, because the mean of its divisors is an integer number (118800675).

Almost surely, 2^10013003136 is an apocalyptic number.

10013003136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206486400).

10013003136 is an abundant number, since it is smaller than the sum of its proper divisors (20399969664).

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

10013003136 is an equidigital number, since it uses as much as digits as its factorization.

10013003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10013003136 its reverse (63130031001), we get a palindrome (73143034137).

It can be divided in two parts, 100 and 13003136, that added together give a square (13003236 = 3606²).

The spelling of 10013003136 in words is "ten billion, thirteen million, three thousand, one hundred thirty-six".