2013331012 has 144 divisors (see below), whose sum is σ = 4777351488. Its totient is φ = 731566080.

The previous prime is 2013330997. The next prime is 2013331049. The reversal of 2013331012 is 2101333102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5974108 + ... + 5974444.

It is an arithmetic number, because the mean of its divisors is an integer number (33176052).

Almost surely, 2^2013331012 is an apocalyptic number.

2013331012 is a gapful number since it is divisible by the number (22) 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 2013331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388675744).

2013331012 is an abundant number, since it is smaller than the sum of its proper divisors (2764020476).

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

2013331012 is a wasteful number, since it uses less digits than its factorization.

2013331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2013331012 is about 44870.1572540146. The cubic root of 2013331012 is about 1262.7141902646.

Adding to 2013331012 its reverse (2101333102), we get a palindrome (4114664114).

The spelling of 2013331012 in words is "two billion, thirteen million, three hundred thirty-one thousand, twelve".