10331210312000 has 112 divisors (see below), whose sum is σ = 25595620556688. Its totient is φ = 4130807859200.

The previous prime is 10331210311993. The next prime is 10331210312029. The reversal of 10331210312000 is 21301213301.

It can be written as a sum of positive squares in 8 ways, for example, as 3090676513024 + 7240533798976 = 1758032^2 + 2690824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10331210312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19555322 + ... + 20076678.

It is an arithmetic number, because the mean of its divisors is an integer number (228532326399).

Almost surely, 2^{10331210312000} is an apocalyptic number.

10331210312000 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 10331210312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797810278344).

10331210312000 is an abundant number, since it is smaller than the sum of its proper divisors (15264410244688).

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

10331210312000 is an equidigital number, since it uses as much as digits as its factorization.

10331210312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523861 (or 523841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10331210312000 its reverse (21301213301), we get a palindrome (10352511525301).

The spelling of 10331210312000 in words is "ten trillion, three hundred thirty-one billion, two hundred ten million, three hundred twelve thousand".