10310130211200 has 384 divisors, whose sum is σ = 34177875868800. Its totient is φ = 2731674009600.

The previous prime is 10310130211193. The next prime is 10310130211349. The reversal of 10310130211200 is 211203101301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10310130211200.

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, 3112020744 + ... + 3112024056.

It is an arithmetic number, because the mean of its divisors is an integer number (89004885075).

Almost surely, 2^{10310130211200} is an apocalyptic number.

10310130211200 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 10310130211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088937934400).

10310130211200 is an abundant number, since it is smaller than the sum of its proper divisors (23867745657600).

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

10310130211200 is a wasteful number, since it uses less digits than its factorization.

10310130211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10310130211200 its reverse (211203101301), we get a palindrome (10521333312501).

The spelling of 10310130211200 in words is "ten trillion, three hundred ten billion, one hundred thirty million, two hundred eleven thousand, two hundred".