10000013000 has 64 divisors (see below), whose sum is σ = 23456599920. Its totient is φ = 3990336000.

The previous prime is 10000012993. The next prime is 10000013011. The reversal of 10000013000 is 31000001.

It can be written as a sum of positive squares in 8 ways, for example, as 46758244 + 9953254756 = 6838^2 + 99766^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

10000013000 is a modest number, since divided by 13000 gives 10000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409124 + ... + 432876.

Almost surely, 2^10000013000 is an apocalyptic number.

10000013000 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 10000013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728299960).

10000013000 is an abundant number, since it is smaller than the sum of its proper divisors (13456586920).

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

10000013000 is a wasteful number, since it uses less digits than its factorization.

10000013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24195 (or 24181 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10000013000 its reverse (31000001), we get a palindrome (10031013001).

It can be divided in two parts, 1000001 and 3000, that added together give a palindrome (1003001).

The spelling of 10000013000 in words is "ten billion, thirteen thousand".