1053313411221 has 128 divisors (see below), whose sum is σ = 1736226201600. Its totient is φ = 628593488640.

The previous prime is 1053313411193. The next prime is 1053313411229. The reversal of 1053313411221 is 1221143133501.

1053313411221 is a `hidden beast` number, since 1 + 0 + 533 + 1 + 3 + 4 + 1 + 122 + 1 = 666.

It is not a de Polignac number, because 1053313411221 - 2¹⁰ = 1053313410197 is a prime.

It is a super-3 number, since 3×1053313411221³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053313411229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116861511 + ... + 116870523.

It is an arithmetic number, because the mean of its divisors is an integer number (13564267200).

Almost surely, 2^{1053313411221} is an apocalyptic number.

It is an amenable number.

1053313411221 is a deficient number, since it is larger than the sum of its proper divisors (682912790379).

1053313411221 is a wasteful number, since it uses less digits than its factorization.

1053313411221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1053313411221 its reverse (1221143133501), we get a palindrome (2274456544722).

The spelling of 1053313411221 in words is "one trillion, fifty-three billion, three hundred thirteen million, four hundred eleven thousand, two hundred twenty-one".