320030100010000 has 200 divisors, whose sum is σ = 801603642442680. Its totient is φ = 123588476928000.

The previous prime is 320030100009953. The next prime is 320030100010001. The reversal of 320030100010000 is 10001030023.

It can be written as a sum of positive squares in 20 ways, for example, as 205333882434576 + 114696217575424 = 14329476^2 + 10709632^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (320030100010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4771336464 + ... + 4771403536.

Almost surely, 2^{320030100010000} 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 320030100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400801821221340).

320030100010000 is an abundant number, since it is smaller than the sum of its proper divisors (481573542432680).

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

320030100010000 is a wasteful number, since it uses less digits than its factorization.

320030100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83583 (or 83562 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 320030100010000 its reverse (10001030023), we get a palindrome (320040101040023).

The spelling of 320030100010000 in words is "three hundred twenty trillion, thirty billion, one hundred million, ten thousand".