1102733112321 has 189 divisors, whose sum is σ = 1844832753939. Its totient is φ = 658696826304.

The previous prime is 1102733112307. The next prime is 1102733112331. The reversal of 1102733112321 is 1232113372011.

The square root of 1102733112321 is 1050111.

It is a perfect power (a square), and thus also a powerful number.

1102733112321 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 7 + 331 + 1 + 2 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211748145921 + 890984966400 = 460161^2 + 943920^2 .

It is not a de Polignac number, because 1102733112321 - 2¹¹ = 1102733110273 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1102733112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 12390259645 + ... + 12390259733.

Almost surely, 2^{1102733112321} is an apocalyptic number.

1102733112321 is the 1050111-st square number.

1102733112321 is the 525056-th centered octagonal number.

It is an amenable number.

1102733112321 is a deficient number, since it is larger than the sum of its proper divisors (742099641618).

1102733112321 is an frugal number, since it uses more digits than its factorization.

1102733112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1102733112321 its reverse (1232113372011), we get a palindrome (2334846484332).

The spelling of 1102733112321 in words is "one trillion, one hundred two billion, seven hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".