10113310400 has 84 divisors (see below), whose sum is σ = 24912139152. Its totient is φ = 4040924160.

The previous prime is 10113310321. The next prime is 10113310409. The reversal of 10113310400 is 401331101.

10113310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10113310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1745909 + ... + 1751691.

Almost surely, 2^10113310400 is an apocalyptic number.

10113310400 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 10113310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456069576).

10113310400 is an abundant number, since it is smaller than the sum of its proper divisors (14798828752).

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

10113310400 is a wasteful number, since it uses less digits than its factorization.

10113310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10113310400 its reverse (401331101), we get a palindrome (10514641501).

The spelling of 10113310400 in words is "ten billion, one hundred thirteen million, three hundred ten thousand, four hundred".