1005300001320 has 64 divisors (see below), whose sum is σ = 3018854240640. Its totient is φ = 267817401600.

The previous prime is 1005300001313. The next prime is 1005300001361. The reversal of 1005300001320 is 231000035001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005300001320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3980076 + ... + 4225115.

It is an arithmetic number, because the mean of its divisors is an integer number (47169597510).

Almost surely, 2^{1005300001320} is an apocalyptic number.

1005300001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005300001320 is an abundant number, since it is smaller than the sum of its proper divisors (2013554239320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005300001320 is a wasteful number, since it uses less digits than its factorization.

1005300001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206226 (or 8206222 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 1005300001320 its reverse (231000035001), we get a palindrome (1236300036321).

The spelling of 1005300001320 in words is "one trillion, five billion, three hundred million, one thousand, three hundred twenty".