10313444000 has 192 divisors, whose sum is σ = 26625231360. Its totient is φ = 3920716800.

The previous prime is 10313443997. The next prime is 10313444003. The reversal of 10313444000 is 44431301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10313443997) and next prime (10313444003).

It is a super-2 number, since 2×10313444000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10313444003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7771337 + ... + 7772663.

It is an arithmetic number, because the mean of its divisors is an integer number (138673080).

Almost surely, 2^10313444000 is an apocalyptic number.

10313444000 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 10313444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312615680).

10313444000 is an abundant number, since it is smaller than the sum of its proper divisors (16311787360).

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

10313444000 is a wasteful number, since it uses less digits than its factorization.

10313444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1430 counting only the distinct ones).

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

Adding to 10313444000 its reverse (44431301), we get a palindrome (10357875301).

The spelling of 10313444000 in words is "ten billion, three hundred thirteen million, four hundred forty-four thousand".