10301143200320 has 448 divisors, whose sum is σ = 28623496849920. Its totient is φ = 3458452488192.

The previous prime is 10301143200287. The next prime is 10301143200329. The reversal of 10301143200320 is 2300234110301.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10301143200320² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10301143200292 and 10301143200301.

It is not an unprimeable number, because it can be changed into a prime (10301143200329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13326187454 + ... + 13326188226.

It is an arithmetic number, because the mean of its divisors is an integer number (63891734040).

Almost surely, 2^{10301143200320} is an apocalyptic number.

10301143200320 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 10301143200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311748424960).

10301143200320 is an abundant number, since it is smaller than the sum of its proper divisors (18322353649600).

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

10301143200320 is a wasteful number, since it uses less digits than its factorization.

10301143200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10301143200320 its reverse (2300234110301), we get a palindrome (12601377310621).

The spelling of 10301143200320 in words is "ten trillion, three hundred one billion, one hundred forty-three million, two hundred thousand, three hundred twenty".