10031320299968 has 448 divisors, whose sum is σ = 24116936288256. Its totient is φ = 4087480320000.

The previous prime is 10031320299937. The next prime is 10031320299977. The reversal of 10031320299968 is 86999202313001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4747429280 + ... + 4747431392.

It is an arithmetic number, because the mean of its divisors is an integer number (53832447072).

Almost surely, 2^{10031320299968} 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 10031320299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058468144128).

10031320299968 is an abundant number, since it is smaller than the sum of its proper divisors (14085615988288).

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

10031320299968 is a wasteful number, since it uses less digits than its factorization.

10031320299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 53.

The spelling of 10031320299968 in words is "ten trillion, thirty-one billion, three hundred twenty million, two hundred ninety-nine thousand, nine hundred sixty-eight".