1012133320 has 64 divisors (see below), whose sum is σ = 2518439040. Its totient is φ = 362995200.

The previous prime is 1012133293. The next prime is 1012133323. The reversal of 1012133320 is 233312101.

It is a junction number, because it is equal to n+sod(n) for n = 1012133294 and 1012133303.

It is not an unprimeable number, because it can be changed into a prime (1012133323) 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, 16365 + ... + 47875.

It is an arithmetic number, because the mean of its divisors is an integer number (39350610).

Almost surely, 2^1012133320 is an apocalyptic number.

1012133320 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 1012133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259219520).

1012133320 is an abundant number, since it is smaller than the sum of its proper divisors (1506305720).

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

1012133320 is a wasteful number, since it uses less digits than its factorization.

1012133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31606 (or 31602 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1012133320 is about 31814.0428113121. The cubic root of 1012133320 is about 1004.0281918826.

Adding to 1012133320 its reverse (233312101), we get a palindrome (1245445421).

The spelling of 1012133320 in words is "one billion, twelve million, one hundred thirty-three thousand, three hundred twenty".