2013321310 has 192 divisors, whose sum is σ = 5046935040. Its totient is φ = 568270080.

The previous prime is 2013321253. The next prime is 2013321311. The reversal of 2013321310 is 131233102.

It is a super-2 number, since 2×2013321310² = 8106925394600232200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013321311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4133887 + ... + 4134373.

It is an arithmetic number, because the mean of its divisors is an integer number (26286120).

Almost surely, 2^2013321310 is an apocalyptic number.

2013321310 is an abundant number, since it is smaller than the sum of its proper divisors (3033613730).

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

2013321310 is a wasteful number, since it uses less digits than its factorization.

2013321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 584 counting only the distinct ones).

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

The square root of 2013321310 is about 44870.0491419388. The cubic root of 2013321310 is about 1262.7121619721.

Adding to 2013321310 its reverse (131233102), we get a palindrome (2144554412).

It can be divided in two parts, 2013 and 321310, that added together give a palindrome (323323).

The spelling of 2013321310 in words is "two billion, thirteen million, three hundred twenty-one thousand, three hundred ten".