10131331300000 has 288 divisors, whose sum is σ = 25624712413440. Its totient is φ = 3941308800000.

The previous prime is 10131331299977. The next prime is 10131331300033. The reversal of 10131331300000 is 313313101.

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 47 ways as a sum of consecutive naturals, for example, 529290430 + ... + 529309570.

It is an arithmetic number, because the mean of its divisors is an integer number (88974695880).

Almost surely, 2^{10131331300000} is an apocalyptic number.

10131331300000 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 10131331300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812356206720).

10131331300000 is an abundant number, since it is smaller than the sum of its proper divisors (15493381113440).

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

10131331300000 is an frugal number, since it uses more digits than its factorization.

10131331300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19322 (or 19294 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10131331300000 its reverse (313313101), we get a palindrome (10131644613101).

The spelling of 10131331300000 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred thousand".