10332001312 has 48 divisors (see below), whose sum is σ = 20852311032. Its totient is φ = 5036359680.

The previous prime is 10332001301. The next prime is 10332001321. The reversal of 10332001312 is 21310023301.

It can be written as a sum of positive squares in 4 ways, for example, as 8178670096 + 2153331216 = 90436^2 + 46404^2 .

It is a super-2 number, since 2×10332001312² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3116968 + ... + 3120280.

Almost surely, 2^10332001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426155516).

10332001312 is an abundant number, since it is smaller than the sum of its proper divisors (10520309720).

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

10332001312 is a wasteful number, since it uses less digits than its factorization.

10332001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10332001312 its reverse (21310023301), we get a palindrome (31642024613).

The spelling of 10332001312 in words is "ten billion, three hundred thirty-two million, one thousand, three hundred twelve".