1013233320 has 512 divisors, whose sum is σ = 4059072000. Its totient is φ = 221921280.

The previous prime is 1013233307. The next prime is 1013233427. The reversal of 1013233320 is 233323101.

1013233320 is a `hidden beast` number, since 10 + 1 + 323 + 332 + 0 = 666.

1013233320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013233293 and 1013233302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5856754 + ... + 5856926.

It is an arithmetic number, because the mean of its divisors is an integer number (7927875).

Almost surely, 2^1013233320 is an apocalyptic number.

1013233320 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 1013233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029536000).

1013233320 is an abundant number, since it is smaller than the sum of its proper divisors (3045838680).

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

1013233320 is a wasteful number, since it uses less digits than its factorization.

1013233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1013233320 is about 31831.3260798227. The cubic root of 1013233320 is about 1004.3917906059.

Adding to 1013233320 its reverse (233323101), we get a palindrome (1246556421).

The spelling of 1013233320 in words is "one billion, thirteen million, two hundred thirty-three thousand, three hundred twenty".