1000133120 has 320 divisors, whose sum is σ = 3005164800. Its totient is φ = 317915136.

The previous prime is 1000133111. The next prime is 1000133149. The reversal of 1000133120 is 213310001.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14927327 + ... + 14927393.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^1000133120 is an apocalyptic number.

1000133120 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 1000133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502582400).

1000133120 is an abundant number, since it is smaller than the sum of its proper divisors (2005031680).

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

1000133120 is an frugal number, since it uses more digits than its factorization.

1000133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1000133120 is about 31624.8813436509. The cubic root of 1000133120 is about 1000.0443713645.

Adding to 1000133120 its reverse (213310001), we get a palindrome (1213443121).

The spelling of 1000133120 in words is "one billion, one hundred thirty-three thousand, one hundred twenty".