10331220133200 has 240 divisors, whose sum is σ = 33279331593600. Its totient is φ = 2739630643200.

The previous prime is 10331220133189. The next prime is 10331220133217. The reversal of 10331220133200 is 233102213301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174605221 + ... + 174664379.

It is an arithmetic number, because the mean of its divisors is an integer number (138663881640).

Almost surely, 2^{10331220133200} is an apocalyptic number.

10331220133200 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 10331220133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639665796800).

10331220133200 is an abundant number, since it is smaller than the sum of its proper divisors (22948111460400).

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

10331220133200 is a wasteful number, since it uses less digits than its factorization.

10331220133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59990 (or 59979 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10331220133200 its reverse (233102213301), we get a palindrome (10564322346501).

The spelling of 10331220133200 in words is "ten trillion, three hundred thirty-one billion, two hundred twenty million, one hundred thirty-three thousand, two hundred".