10300333120 has 504 divisors, whose sum is σ = 32234108760. Its totient is φ = 3122380800.

The previous prime is 10300333111. The next prime is 10300333139. The reversal of 10300333120 is 2133300301.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 10081766464 = 14784^2 + 100408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10300333094 and 10300333103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115734036 + ... + 115734124.

It is an arithmetic number, because the mean of its divisors is an integer number (63956565).

Almost surely, 2^10300333120 is an apocalyptic number.

10300333120 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 10300333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117054380).

10300333120 is an abundant number, since it is smaller than the sum of its proper divisors (21933775640).

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

10300333120 is a wasteful number, since it uses less digits than its factorization.

10300333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10300333120 its reverse (2133300301), we get a palindrome (12433633421).

The spelling of 10300333120 in words is "ten billion, three hundred million, three hundred thirty-three thousand, one hundred twenty".