201220111313 has 16 divisors (see below), whose sum is σ = 225024831696. Its totient is φ = 178728975360.

The previous prime is 201220111307. The next prime is 201220111327. The reversal of 201220111313 is 313111022102.

It can be written as a sum of positive squares in 8 ways, for example, as 105619800064 + 95600311249 = 324992^2 + 309193^2 .

It is not a de Polignac number, because 201220111313 - 2⁴ = 201220111297 is a prime.

It is a super-2 number, since 2×201220111313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201220111291 and 201220111300.

It is not an unprimeable number, because it can be changed into a prime (201220111373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546870 + ... + 2624687.

It is an arithmetic number, because the mean of its divisors is an integer number (14064051981).

Almost surely, 2^201220111313 is an apocalyptic number.

It is an amenable number.

201220111313 is a deficient number, since it is larger than the sum of its proper divisors (23804720383).

201220111313 is a wasteful number, since it uses less digits than its factorization.

201220111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171684.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 201220111313 its reverse (313111022102), we get a palindrome (514331133415).

The spelling of 201220111313 in words is "two hundred one billion, two hundred twenty million, one hundred eleven thousand, three hundred thirteen".