11201013222131 has 16 divisors (see below), whose sum is σ = 11330945222688. Its totient is φ = 11071965945600.

The previous prime is 11201013222127. The next prime is 11201013222137. The reversal of 11201013222131 is 13122231010211.

It is a cyclic number.

It is not a de Polignac number, because 11201013222131 - 2² = 11201013222127 is a prime.

It is a super-3 number, since 3×11201013222131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201013222137) 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, 29331935 + ... + 29711351.

It is an arithmetic number, because the mean of its divisors is an integer number (708184076418).

Almost surely, 2^{11201013222131} is an apocalyptic number.

11201013222131 is a deficient number, since it is larger than the sum of its proper divisors (129932000557).

11201013222131 is a wasteful number, since it uses less digits than its factorization.

11201013222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380582.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11201013222131 its reverse (13122231010211), we get a palindrome (24323244232342).

The spelling of 11201013222131 in words is "eleven trillion, two hundred one billion, thirteen million, two hundred twenty-two thousand, one hundred thirty-one".