10002331310312 has 64 divisors (see below), whose sum is σ = 20579569395840. Its totient is φ = 4519808467200.

The previous prime is 10002331310311. The next prime is 10002331310317. The reversal of 10002331310312 is 21301313320001.

It is not an unprimeable number, because it can be changed into a prime (10002331310311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45875378 + ... + 46092894.

It is an arithmetic number, because the mean of its divisors is an integer number (321555771810).

Almost surely, 2^{10002331310312} 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 10002331310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289784697920).

10002331310312 is an abundant number, since it is smaller than the sum of its proper divisors (10577238085528).

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

10002331310312 is a wasteful number, since it uses less digits than its factorization.

10002331310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220602 (or 220598 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10002331310312 its reverse (21301313320001), we get a palindrome (31303644630313).

The spelling of 10002331310312 in words is "ten trillion, two billion, three hundred thirty-one million, three hundred ten thousand, three hundred twelve".