1005300001321 has 32 divisors (see below), whose sum is σ = 1260235646208. Its totient is φ = 779056496640.

The previous prime is 1005300001313. The next prime is 1005300001361. The reversal of 1005300001321 is 1231000035001.

It is a cyclic number.

It is not a de Polignac number, because 1005300001321 - 2³ = 1005300001313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005300001295 and 1005300001304.

It is not an unprimeable number, because it can be changed into a prime (1005300001361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61769041 + ... + 61785313.

It is an arithmetic number, because the mean of its divisors is an integer number (39382363944).

Almost surely, 2^{1005300001321} is an apocalyptic number.

1005300001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005300001321 is a deficient number, since it is larger than the sum of its proper divisors (254935644887).

1005300001321 is a wasteful number, since it uses less digits than its factorization.

1005300001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20641.

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 1005300001321 its reverse (1231000035001), we get a palindrome (2236300036322).

The spelling of 1005300001321 in words is "one trillion, five billion, three hundred million, one thousand, three hundred twenty-one".