11022104131218 has 32 divisors (see below), whose sum is σ = 24498075342720. Its totient is φ = 3673358119440.

The previous prime is 11022104131217. The next prime is 11022104131309. The reversal of 11022104131218 is 81213140122011.

11022104131218 is a `hidden beast` number, since 1 + 1 + 0 + 22 + 10 + 413 + 1 + 218 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11022104131191 and 11022104131200.

It is not an unprimeable number, because it can be changed into a prime (11022104131211) 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 15 ways as a sum of consecutive naturals, for example, 18498205 + ... + 19084752.

It is an arithmetic number, because the mean of its divisors is an integer number (765564854460).

Almost surely, 2^{11022104131218} is an apocalyptic number.

11022104131218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11022104131218 is an abundant number, since it is smaller than the sum of its proper divisors (13475971211502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11022104131218 is a wasteful number, since it uses less digits than its factorization.

11022104131218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37588399 (or 37588393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11022104131218 its reverse (81213140122011), we get a palindrome (92235244253229).

The spelling of 11022104131218 in words is "eleven trillion, twenty-two billion, one hundred four million, one hundred thirty-one thousand, two hundred eighteen".