10120181328 has 60 divisors (see below), whose sum is σ = 29988485748. Its totient is φ = 3174958080.

The previous prime is 10120181327. The next prime is 10120181339. The reversal of 10120181328 is 82318102101.

10120181328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3962954304 + 6157227024 = 62952^2 + 78468^2 .

It is a super-2 number, since 2×10120181328² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120181321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064583 + ... + 2069478.

Almost surely, 2^10120181328 is an apocalyptic number.

10120181328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10120181328 is an abundant number, since it is smaller than the sum of its proper divisors (19868304420).

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

10120181328 is a wasteful number, since it uses less digits than its factorization.

10120181328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134092 (or 4134083 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 10120181328 its reverse (82318102101), we get a palindrome (92438283429).

The spelling of 10120181328 in words is "ten billion, one hundred twenty million, one hundred eighty-one thousand, three hundred twenty-eight".