10630201320 has 512 divisors, whose sum is σ = 40808448000. Its totient is φ = 2443530240.

The previous prime is 10630201291. The next prime is 10630201327. The reversal of 10630201320 is 2310203601.

10630201320 is a `hidden beast` number, since 1 + 0 + 630 + 2 + 0 + 1 + 32 + 0 = 666.

It is a super-2 number, since 2×10630201320² (a number of 21 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 = 10630201293 and 10630201302.

It is not an unprimeable number, because it can be changed into a prime (10630201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10813549 + ... + 10814531.

It is an arithmetic number, because the mean of its divisors is an integer number (79704000).

Almost surely, 2^10630201320 is an apocalyptic number.

10630201320 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 10630201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404224000).

10630201320 is an abundant number, since it is smaller than the sum of its proper divisors (30178246680).

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

10630201320 is a wasteful number, since it uses less digits than its factorization.

10630201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10630201320 its reverse (2310203601), we get a palindrome (12940404921).

The spelling of 10630201320 in words is "ten billion, six hundred thirty million, two hundred one thousand, three hundred twenty".