10321312000000 has 336 divisors, whose sum is σ = 27315539809740. Its totient is φ = 3885465600000.

The previous prime is 10321311999959. The next prime is 10321312000003. The reversal of 10321312000000 is 21312301.

It can be written as a sum of positive squares in 14 ways, for example, as 8502309520384 + 1819002479616 = 2915872^2 + 1348704^2 .

It is not an unprimeable number, because it can be changed into a prime (10321312000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 543990514 + ... + 544009486.

Almost surely, 2^{10321312000000} is an apocalyptic number.

10321312000000 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 10321312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657769904870).

10321312000000 is an abundant number, since it is smaller than the sum of its proper divisors (16994227809740).

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

10321312000000 is an frugal number, since it uses more digits than its factorization.

10321312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 18997 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10321312000000 its reverse (21312301), we get a palindrome (10321333312301).

The spelling of 10321312000000 in words is "ten trillion, three hundred twenty-one billion, three hundred twelve million", and thus it is an aban number.