10313042200400 has 120 divisors (see below), whose sum is σ = 26257939991424. Its totient is φ = 3879096883200.

The previous prime is 10313042200399. The next prime is 10313042200477. The reversal of 10313042200400 is 400224031301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6961145 + ... + 8311655.

Almost surely, 2^{10313042200400} is an apocalyptic number.

10313042200400 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 10313042200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128969995712).

10313042200400 is an abundant number, since it is smaller than the sum of its proper divisors (15944897791024).

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

10313042200400 is a wasteful number, since it uses less digits than its factorization.

10313042200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351669 (or 1351658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10313042200400 its reverse (400224031301), we get a palindrome (10713266231701).

The spelling of 10313042200400 in words is "ten trillion, three hundred thirteen billion, forty-two million, two hundred thousand, four hundred".