11021131133331 has 96 divisors (see below), whose sum is σ = 16770121555968. Its totient is φ = 6380816400000.

The previous prime is 11021131133323. The next prime is 11021131133347. The reversal of 11021131133331 is 13333113112011.

It is not a de Polignac number, because 11021131133331 - 2³ = 11021131133323 is a prime.

It is a super-2 number, since 2×11021131133331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11021131143331) 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 95 ways as a sum of consecutive naturals, for example, 1123339416 + ... + 1123349226.

It is an arithmetic number, because the mean of its divisors is an integer number (174688766208).

Almost surely, 2^{11021131133331} is an apocalyptic number.

11021131133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11021131133331 is a deficient number, since it is larger than the sum of its proper divisors (5748990422637).

11021131133331 is a wasteful number, since it uses less digits than its factorization.

11021131133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11021131133331 its reverse (13333113112011), we get a palindrome (24354244245342).

The spelling of 11021131133331 in words is "eleven trillion, twenty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-one".