10313384086800 has 960 divisors, whose sum is σ = 37991788369920. Its totient is φ = 2656233216000.

The previous prime is 10313384086787. The next prime is 10313384086807. The reversal of 10313384086800 is 868048331301.

10313384086800 is a `hidden beast` number, since 103 + 13 + 384 + 0 + 86 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10313384086807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8337415782 + ... + 8337417018.

It is an arithmetic number, because the mean of its divisors is an integer number (39574779552).

Almost surely, 2^{10313384086800} is an apocalyptic number.

10313384086800 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 10313384086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995894184960).

10313384086800 is an abundant number, since it is smaller than the sum of its proper divisors (27678404283120).

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

10313384086800 is a wasteful number, since it uses less digits than its factorization.

10313384086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10313384086800 in words is "ten trillion, three hundred thirteen billion, three hundred eighty-four million, eighty-six thousand, eight hundred".