10313443012400 has 120 divisors (see below), whose sum is σ = 27038606942208. Its totient is φ = 3749231520000.

The previous prime is 10313443012373. The next prime is 10313443012459. The reversal of 10313443012400 is 421034431301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10313443012400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14574785 + ... + 15266015.

Almost surely, 2^{10313443012400} is an apocalyptic number.

10313443012400 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 10313443012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519303471104).

10313443012400 is an abundant number, since it is smaller than the sum of its proper divisors (16725163929808).

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

10313443012400 is a wasteful number, since it uses less digits than its factorization.

10313443012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694651 (or 694640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10313443012400 its reverse (421034431301), we get a palindrome (10734477443701).

The spelling of 10313443012400 in words is "ten trillion, three hundred thirteen billion, four hundred forty-three million, twelve thousand, four hundred".