1111131312221 has 48 divisors (see below), whose sum is σ = 1316522160000. Its totient is φ = 934913750400.

The previous prime is 1111131312197. The next prime is 1111131312241. The reversal of 1111131312221 is 1222131311111.

It is not a de Polignac number, because 1111131312221 - 2²⁶ = 1111064203357 is a prime.

It is a super-4 number, since 4×1111131312221⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111131312193 and 1111131312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111131312241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544938320 + ... + 544940358.

It is an arithmetic number, because the mean of its divisors is an integer number (27427545000).

Almost surely, 2^{1111131312221} is an apocalyptic number.

It is an amenable number.

1111131312221 is a deficient number, since it is larger than the sum of its proper divisors (205390847779).

1111131312221 is a wasteful number, since it uses less digits than its factorization.

1111131312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3035 counting only the distinct ones).

The product of its digits is 72, while the sum is 20.

Adding to 1111131312221 its reverse (1222131311111), we get a palindrome (2333262623332).

The spelling of 1111131312221 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, three hundred twelve thousand, two hundred twenty-one".