10300131041200 has 960 divisors, whose sum is σ = 34746420086784. Its totient is φ = 2828390400000.

The previous prime is 10300131041153. The next prime is 10300131041227. The reversal of 10300131041200 is 214013100301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5534728270 + ... + 5534730130.

Almost surely, 2^{10300131041200} is an apocalyptic number.

10300131041200 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 10300131041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373210043392).

10300131041200 is an abundant number, since it is smaller than the sum of its proper divisors (24446289045584).

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

10300131041200 is a wasteful number, since it uses less digits than its factorization.

10300131041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10300131041200 its reverse (214013100301), we get a palindrome (10514144141501).

The spelling of 10300131041200 in words is "ten trillion, three hundred billion, one hundred thirty-one million, forty-one thousand, two hundred".