11201222131313 has 16 divisors (see below), whose sum is σ = 11866024831680. Its totient is φ = 10537077196800.

The previous prime is 11201222131283. The next prime is 11201222131369. The reversal of 11201222131313 is 31313122210211.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-11201222131313 is a prime.

It is a super-2 number, since 2×11201222131313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201222131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320576198 + ... + 320611136.

It is an arithmetic number, because the mean of its divisors is an integer number (741626551980).

Almost surely, 2^{11201222131313} is an apocalyptic number.

It is an amenable number.

11201222131313 is a deficient number, since it is larger than the sum of its proper divisors (664802700367).

11201222131313 is a wasteful number, since it uses less digits than its factorization.

11201222131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43808.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11201222131313 its reverse (31313122210211), we get a palindrome (42514344341524).

The spelling of 11201222131313 in words is "eleven trillion, two hundred one billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred thirteen".