1013052012 has 96 divisors (see below), whose sum is σ = 2810142720. Its totient is φ = 277912320.

The previous prime is 1013051999. The next prime is 1013052031. The reversal of 1013052012 is 2102503101.

It is a junction number, because it is equal to n+sod(n) for n = 1013051982 and 1013052000.

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, 478837 + ... + 480947.

It is an arithmetic number, because the mean of its divisors is an integer number (29272320).

Almost surely, 2^1013052012 is an apocalyptic number.

1013052012 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 1013052012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

1013052012 is an abundant number, since it is smaller than the sum of its proper divisors (1797090708).

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

1013052012 is a wasteful number, since it uses less digits than its factorization.

1013052012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1013052012 is about 31828.4780031971. The cubic root of 1013052012 is about 1004.3318784000.

Adding to 1013052012 its reverse (2102503101), we get a palindrome (3115555113).

The spelling of 1013052012 in words is "one billion, thirteen million, fifty-two thousand, twelve".