11013221101131 has 48 divisors (see below), whose sum is σ = 16980971280000. Its totient is φ = 6858138969216.

The previous prime is 11013221101111. The next prime is 11013221101163. The reversal of 11013221101131 is 13110112231011.

11013221101131 is a `hidden beast` number, since 1 + 101 + 322 + 110 + 1 + 131 = 666.

It is not a de Polignac number, because 11013221101131 - 2¹⁸ = 11013220838987 is a prime.

It is a super-2 number, since 2×11013221101131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11013221101111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6304791 + ... + 7859823.

It is an arithmetic number, because the mean of its divisors is an integer number (353770235000).

Almost surely, 2^{11013221101131} is an apocalyptic number.

11013221101131 is a deficient number, since it is larger than the sum of its proper divisors (5967750178869).

11013221101131 is a wasteful number, since it uses less digits than its factorization.

11013221101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555640 (or 1555637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11013221101131 its reverse (13110112231011), we get a palindrome (24123333332142).

The spelling of 11013221101131 in words is "eleven trillion, thirteen billion, two hundred twenty-one million, one hundred one thousand, one hundred thirty-one".