10013300000 has 144 divisors (see below), whose sum is σ = 26883529344. Its totient is φ = 3640800000.

The previous prime is 10013299981. The next prime is 10013300053. The reversal of 10013300000 is 331001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095449 + ... + 1104551.

It is an arithmetic number, because the mean of its divisors is an integer number (186691176).

Almost surely, 2^10013300000 is an apocalyptic number.

10013300000 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 10013300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441764672).

10013300000 is an abundant number, since it is smaller than the sum of its proper divisors (16870229344).

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

10013300000 is an frugal number, since it uses more digits than its factorization.

10013300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10013300000 its reverse (331001), we get a palindrome (10013631001).

It can be divided in two parts, 10013 and 300000, that added together give a palindrome (310013).

The spelling of 10013300000 in words is "ten billion, thirteen million, three hundred thousand".