1005314221103 has 16 divisors (see below), whose sum is σ = 1068890950656. Its totient is φ = 943395641760.

The previous prime is 1005314221063. The next prime is 1005314221111. The reversal of 1005314221103 is 3011224135001.

It is a cyclic number.

It is not a de Polignac number, because 1005314221103 - 2⁶ = 1005314221039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005314221193) 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, 33394088 + ... + 33424178.

It is an arithmetic number, because the mean of its divisors is an integer number (66805684416).

Almost surely, 2^{1005314221103} is an apocalyptic number.

1005314221103 is a deficient number, since it is larger than the sum of its proper divisors (63576729553).

1005314221103 is a wasteful number, since it uses less digits than its factorization.

1005314221103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57574.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1005314221103 its reverse (3011224135001), we get a palindrome (4016538356104).

The spelling of 1005314221103 in words is "one trillion, five billion, three hundred fourteen million, two hundred twenty-one thousand, one hundred three".