10213132003200 has 576 divisors, whose sum is σ = 41864866087200. Its totient is φ = 2322325831680.

The previous prime is 10213132003177. The next prime is 10213132003211. The reversal of 10213132003200 is 230023131201.

10213132003200 is a `hidden beast` number, since 1 + 0 + 21 + 3 + 1 + 320 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38777556 + ... + 39040044.

Almost surely, 2^{10213132003200} is an apocalyptic number.

10213132003200 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 10213132003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932433043600).

10213132003200 is an abundant number, since it is smaller than the sum of its proper divisors (31651734084000).

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

10213132003200 is a wasteful number, since it uses less digits than its factorization.

10213132003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262719 (or 262699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213132003200 its reverse (230023131201), we get a palindrome (10443155134401).

The spelling of 10213132003200 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-two million, three thousand, two hundred".