1033113312 has 384 divisors, whose sum is σ = 3840721920. Its totient is φ = 262379520.

The previous prime is 1033113311. The next prime is 1033113317. The reversal of 1033113312 is 2133113301.

It is a happy number.

1033113312 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 331 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033113311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3525838 + ... + 3526130.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2^1033113312 is an apocalyptic number.

1033113312 is a gapful number since it is divisible by the number (12) 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 1033113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960).

1033113312 is an abundant number, since it is smaller than the sum of its proper divisors (2807608608).

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

1033113312 is a wasteful number, since it uses less digits than its factorization.

1033113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1033113312 is about 32142.0800820358. The cubic root of 1033113312 is about 1010.9181312427.

Adding to 1033113312 its reverse (2133113301), we get a palindrome (3166226613).

The spelling of 1033113312 in words is "one billion, thirty-three million, one hundred thirteen thousand, three hundred twelve".