10413033200 has 60 divisors (see below), whose sum is σ = 25143219600. Its totient is φ = 4144250880.

The previous prime is 10413033199. The next prime is 10413033203. The reversal of 10413033200 is 233031401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413033203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14192 + ... + 145008.

It is an arithmetic number, because the mean of its divisors is an integer number (419053660).

Almost surely, 2^10413033200 is an apocalyptic number.

10413033200 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 10413033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571609800).

10413033200 is an abundant number, since it is smaller than the sum of its proper divisors (14730186400).

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

10413033200 is a wasteful number, since it uses less digits than its factorization.

10413033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131034 (or 131023 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10413033200 its reverse (233031401), we get a palindrome (10646064601).

The spelling of 10413033200 in words is "ten billion, four hundred thirteen million, thirty-three thousand, two hundred".