10331413115200 has 168 divisors, whose sum is σ = 25587580950720. Its totient is φ = 4105674854400.

The previous prime is 10331413115143. The next prime is 10331413115207. The reversal of 10331413115200 is 251131413301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331413115207) by changing a digit.

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, 192067509 + ... + 192121291.

Almost surely, 2^{10331413115200} is an apocalyptic number.

10331413115200 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 10331413115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793790475360).

10331413115200 is an abundant number, since it is smaller than the sum of its proper divisors (15256167835520).

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

10331413115200 is a wasteful number, since it uses less digits than its factorization.

10331413115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54585 (or 54570 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 10331413115200 its reverse (251131413301), we get a palindrome (10582544528501).

The spelling of 10331413115200 in words is "ten trillion, three hundred thirty-one billion, four hundred thirteen million, one hundred fifteen thousand, two hundred".