10000013320 has 64 divisors (see below), whose sum is σ = 24590952000. Its totient is φ = 3629633280.

The previous prime is 10000013239. The next prime is 10000013321. The reversal of 10000013320 is 2331000001.

It is a Harshad number since it is a multiple of its sum of digits (10).

10000013320 is a modest number, since divided by 13320 gives 10000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000013297 and 10000013306.

It is not an unprimeable number, because it can be changed into a prime (10000013321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219906 + ... + 261454.

It is an arithmetic number, because the mean of its divisors is an integer number (384233625).

Almost surely, 2^10000013320 is an apocalyptic number.

10000013320 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 10000013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295476000).

10000013320 is an abundant number, since it is smaller than the sum of its proper divisors (14590938680).

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

10000013320 is a wasteful number, since it uses less digits than its factorization.

10000013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42118 (or 42114 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10000013320 its reverse (2331000001), we get a palindrome (12331013321).

The spelling of 10000013320 in words is "ten billion, thirteen thousand, three hundred twenty".