10324101312 has 168 divisors, whose sum is σ = 34393632000. Its totient is φ = 2899680768.

The previous prime is 10324101301. The next prime is 10324101317. The reversal of 10324101312 is 21310142301.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10324101317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216189 + ... + 259587.

It is an arithmetic number, because the mean of its divisors is an integer number (204724000).

Almost surely, 2^10324101312 is an apocalyptic number.

10324101312 is a gapful number since it is divisible by the number (12) 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 10324101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816000).

10324101312 is an abundant number, since it is smaller than the sum of its proper divisors (24069530688).

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

10324101312 is a wasteful number, since it uses less digits than its factorization.

10324101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43483 (or 43470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10324101312 its reverse (21310142301), we get a palindrome (31634243613).

The spelling of 10324101312 in words is "ten billion, three hundred twenty-four million, one hundred one thousand, three hundred twelve".