1013103312 has 160 divisors (see below), whose sum is σ = 2949144576. Its totient is φ = 297561600.

The previous prime is 1013103269. The next prime is 1013103341. The reversal of 1013103312 is 2133013101.

1013103312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1013103291 and 1013103300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605237 + ... + 1605867.

Almost surely, 2^1013103312 is an apocalyptic number.

1013103312 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 1013103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474572288).

1013103312 is an abundant number, since it is smaller than the sum of its proper divisors (1936041264).

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

1013103312 is a wasteful number, since it uses less digits than its factorization.

1013103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1013103312 is about 31829.2838750733. The cubic root of 1013103312 is about 1004.3488309208.

Adding to 1013103312 its reverse (2133013101), we get a palindrome (3146116413).

The spelling of 1013103312 in words is "one billion, thirteen million, one hundred three thousand, three hundred twelve".