10311101321312 has 192 divisors, whose sum is σ = 23225388899328. Its totient is φ = 4464434688000.

The previous prime is 10311101321251. The next prime is 10311101321321. The reversal of 10311101321312 is 21312310111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199875362 + ... + 199926942.

It is an arithmetic number, because the mean of its divisors is an integer number (120965567184).

Almost surely, 2^{10311101321312} 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 10311101321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612694449664).

10311101321312 is an abundant number, since it is smaller than the sum of its proper divisors (12914287578016).

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

10311101321312 is a wasteful number, since it uses less digits than its factorization.

10311101321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51973 (or 51965 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10311101321312 its reverse (21312310111301), we get a palindrome (31623411432613).

The spelling of 10311101321312 in words is "ten trillion, three hundred eleven billion, one hundred one million, three hundred twenty-one thousand, three hundred twelve".