1010010320320 has 336 divisors, whose sum is σ = 2551164295680. Its totient is φ = 380762468352.

The previous prime is 1010010320261. The next prime is 1010010320321. The reversal of 1010010320320 is 230230100101.

1010010320320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010320320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010320321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2300706661 + ... + 2300707099.

It is an arithmetic number, because the mean of its divisors is an integer number (7592750880).

Almost surely, 2^{1010010320320} is an apocalyptic number.

1010010320320 is a gapful number since it is divisible by the number (10) 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 1010010320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275582147840).

1010010320320 is an abundant number, since it is smaller than the sum of its proper divisors (1541153975360).

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

1010010320320 is a wasteful number, since it uses less digits than its factorization.

1010010320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1010010320320 its reverse (230230100101), we get a palindrome (1240240420421).

The spelling of 1010010320320 in words is "one trillion, ten billion, ten million, three hundred twenty thousand, three hundred twenty".