10013334500 has 144 divisors (see below), whose sum is σ = 23858819712. Its totient is φ = 3669494400.

The previous prime is 10013334497. The next prime is 10013334503. The reversal of 10013334500 is 543331001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10013334497) and next prime (10013334503).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10013334503) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13773137 + ... + 13773863.

It is an arithmetic number, because the mean of its divisors is an integer number (165686248).

Almost surely, 2^10013334500 is an apocalyptic number.

10013334500 is a gapful number since it is divisible by the number (10) 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 10013334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929409856).

10013334500 is an abundant number, since it is smaller than the sum of its proper divisors (13845485212).

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

10013334500 is a wasteful number, since it uses less digits than its factorization.

10013334500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10013334500 its reverse (543331001), we get a palindrome (10556665501).

The spelling of 10013334500 in words is "ten billion, thirteen million, three hundred thirty-four thousand, five hundred".