2013201101322 has 24 divisors (see below), whose sum is σ = 4362217250976. Its totient is φ = 671023721256.

The previous prime is 2013201101311. The next prime is 2013201101339. The reversal of 2013201101322 is 2231011023102.

2013201101322 is a `hidden beast` number, since 20 + 1 + 320 + 1 + 1 + 0 + 1 + 322 = 666.

It is a super-2 number, since 2×2013201101322² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013201101295 and 2013201101304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3322128 + ... + 3881099.

It is an arithmetic number, because the mean of its divisors is an integer number (181759052124).

Almost surely, 2^{2013201101322} is an apocalyptic number.

2013201101322 is an abundant number, since it is smaller than the sum of its proper divisors (2349016149654).

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

2013201101322 is a wasteful number, since it uses less digits than its factorization.

2013201101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218762 (or 7218759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013201101322 its reverse (2231011023102), we get a palindrome (4244212124424).

The spelling of 2013201101322 in words is "two trillion, thirteen billion, two hundred one million, one hundred one thousand, three hundred twenty-two".