10130333131200 has 336 divisors, whose sum is σ = 33704436528000. Its totient is φ = 2663474196480.

The previous prime is 10130333131153. The next prime is 10130333131231. The reversal of 10130333131200 is 213133303101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 198776122 + ... + 198827078.

It is an arithmetic number, because the mean of its divisors is an integer number (100310823000).

Almost surely, 2^{10130333131200} is an apocalyptic number.

10130333131200 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 10130333131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852218264000).

10130333131200 is an abundant number, since it is smaller than the sum of its proper divisors (23574103396800).

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

10130333131200 is a wasteful number, since it uses less digits than its factorization.

10130333131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51564 (or 51549 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10130333131200 its reverse (213133303101), we get a palindrome (10343466434301).

The spelling of 10130333131200 in words is "ten trillion, one hundred thirty billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred".