10323413000 has 64 divisors (see below), whose sum is σ = 24247220400. Its totient is φ = 4113907200.

The previous prime is 10323412987. The next prime is 10323413017. The reversal of 10323413000 is 31432301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2016548836 + 8306864164 = 44906^2 + 91142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10323413000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249812 + ... + 288188.

Almost surely, 2^10323413000 is an apocalyptic number.

10323413000 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 10323413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123610200).

10323413000 is an abundant number, since it is smaller than the sum of its proper divisors (13923807400).

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

10323413000 is a wasteful number, since it uses less digits than its factorization.

10323413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38667 (or 38653 counting only the distinct ones).

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

Adding to 10323413000 its reverse (31432301), we get a palindrome (10354845301).

The spelling of 10323413000 in words is "ten billion, three hundred twenty-three million, four hundred thirteen thousand".