1013133312 has 104 divisors (see below), whose sum is σ = 3001837680. Its totient is φ = 337674240.

The previous prime is 1013133311. The next prime is 1013133313. The reversal of 1013133312 is 2133313101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013133311) and next prime (1013133313).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1013133311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106012 + ... + 115172.

Almost surely, 2^1013133312 is an apocalyptic number.

1013133312 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 1013133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500918840).

1013133312 is an abundant number, since it is smaller than the sum of its proper divisors (1988704368).

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

1013133312 is an frugal number, since it uses more digits than its factorization.

1013133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9166 counting only the distinct ones).

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

The square root of 1013133312 is about 31829.7551357217. The cubic root of 1013133312 is about 1004.3587444104.

Adding to 1013133312 its reverse (2133313101), we get a palindrome (3146446413).

The spelling of 1013133312 in words is "one billion, thirteen million, one hundred thirty-three thousand, three hundred twelve".