10013233000 has 64 divisors (see below), whose sum is σ = 23452650000. Its totient is φ = 4001587200.

The previous prime is 10013232989. The next prime is 10013233001. The reversal of 10013233000 is 33231001.

It can be written as a sum of positive squares in 8 ways, for example, as 297976644 + 9715256356 = 17262^2 + 98566^2 .

It is a super-2 number, since 2×10013233000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10013233001) 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, 1244992 + ... + 1253008.

Almost surely, 2^10013233000 is an apocalyptic number.

10013233000 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 10013233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726325000).

10013233000 is an abundant number, since it is smaller than the sum of its proper divisors (13439417000).

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

10013233000 is a wasteful number, since it uses less digits than its factorization.

10013233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10013233000 its reverse (33231001), we get a palindrome (10046464001).

The spelling of 10013233000 in words is "ten billion, thirteen million, two hundred thirty-three thousand".