1020133120 has 144 divisors (see below), whose sum is σ = 2580738048. Its totient is φ = 385781760.

The previous prime is 1020133061. The next prime is 1020133129. The reversal of 1020133120 is 213310201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020133120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020133129) 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 15 ways as a sum of consecutive naturals, for example, 1864687 + ... + 1865233.

It is an arithmetic number, because the mean of its divisors is an integer number (17921792).

Almost surely, 2^1020133120 is an apocalyptic number.

1020133120 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 1020133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290369024).

1020133120 is an abundant number, since it is smaller than the sum of its proper divisors (1560604928).

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

1020133120 is an equidigital number, since it uses as much as digits as its factorization.

1020133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1020133120 is about 31939.5228517898. The cubic root of 1020133120 is about 1006.6664990327. Note that the first 3 decimals are identical.

Adding to 1020133120 its reverse (213310201), we get a palindrome (1233443321).

The spelling of 1020133120 in words is "one billion, twenty million, one hundred thirty-three thousand, one hundred twenty".