1131101103221 has 8 divisors (see below), whose sum is σ = 1197698064984. Its totient is φ = 1064510986240.

The previous prime is 1131101103179. The next prime is 1131101103229. The reversal of 1131101103221 is 1223011011311.

It can be written as a sum of positive squares in 4 ways, for example, as 739367818225 + 391733284996 = 859865^2 + 625886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131101103221 - 2²² = 1131096908917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131101103221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131101103229) 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 7 ways as a sum of consecutive naturals, for example, 1369010 + ... + 2033811.

It is an arithmetic number, because the mean of its divisors is an integer number (149712258123).

Almost surely, 2^{1131101103221} is an apocalyptic number.

It is an amenable number.

1131101103221 is a deficient number, since it is larger than the sum of its proper divisors (66596961763).

1131101103221 is a wasteful number, since it uses less digits than its factorization.

1131101103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422391.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1131101103221 its reverse (1223011011311), we get a palindrome (2354112114532).

The spelling of 1131101103221 in words is "one trillion, one hundred thirty-one billion, one hundred one million, one hundred three thousand, two hundred twenty-one".