2013013313322 has 32 divisors (see below), whose sum is σ = 4394875691520. Its totient is φ = 609608667120.

The previous prime is 2013013313321. The next prime is 2013013313357. The reversal of 2013013313322 is 2233133103102.

It is a super-2 number, since 2×2013013313322² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013013313292 and 2013013313301.

It is not an unprimeable number, because it can be changed into a prime (2013013313321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9781572 + ... + 9985247.

It is an arithmetic number, because the mean of its divisors is an integer number (137339865360).

Almost surely, 2^{2013013313322} is an apocalyptic number.

2013013313322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2013013313322 is an abundant number, since it is smaller than the sum of its proper divisors (2381862378198).

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

2013013313322 is a wasteful number, since it uses less digits than its factorization.

2013013313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19768378.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2013013313322 its reverse (2233133103102), we get a palindrome (4246146416424).

The spelling of 2013013313322 in words is "two trillion, thirteen billion, thirteen million, three hundred thirteen thousand, three hundred twenty-two".