10030010332320 has 768 divisors, whose sum is σ = 39225249423360. Its totient is φ = 2372654592000.

The previous prime is 10030010332207. The next prime is 10030010332333. The reversal of 10030010332320 is 2323301003001.

10030010332320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 0 + 10 + 332 + 320 = 666.

10030010332320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10030010332320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10030010332293 and 10030010332302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3038474670 + ... + 3038477970.

It is an arithmetic number, because the mean of its divisors is an integer number (51074543520).

Almost surely, 2^{10030010332320} is an apocalyptic number.

10030010332320 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 10030010332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612624711680).

10030010332320 is an abundant number, since it is smaller than the sum of its proper divisors (29195239091040).

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

10030010332320 is a wasteful number, since it uses less digits than its factorization.

10030010332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10030010332320 its reverse (2323301003001), we get a palindrome (12353311335321).

The spelling of 10030010332320 in words is "ten trillion, thirty billion, ten million, three hundred thirty-two thousand, three hundred twenty".