10313302400 has 96 divisors (see below), whose sum is σ = 25610619000. Its totient is φ = 4103700480.

The previous prime is 10313302397. The next prime is 10313302423. The reversal of 10313302400 is 420331301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609251 + ... + 625949.

Almost surely, 2^10313302400 is an apocalyptic number.

10313302400 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 10313302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805309500).

10313302400 is an abundant number, since it is smaller than the sum of its proper divisors (15297316600).

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

10313302400 is a wasteful number, since it uses less digits than its factorization.

10313302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16899 counting only the distinct ones).

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

Adding to 10313302400 its reverse (420331301), we get a palindrome (10733633701).

The spelling of 10313302400 in words is "ten billion, three hundred thirteen million, three hundred two thousand, four hundred".