1003002001320 has 64 divisors (see below), whose sum is σ = 3282552008640. Its totient is φ = 243152000000.

The previous prime is 1003002001297. The next prime is 1003002001369. The reversal of 1003002001320 is 231002003001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003002001296 and 1003002001305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 379923681 + ... + 379926320.

It is an arithmetic number, because the mean of its divisors is an integer number (51289875135).

Almost surely, 2^{1003002001320} is an apocalyptic number.

1003002001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003002001320 is an abundant number, since it is smaller than the sum of its proper divisors (2279550007320).

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

1003002001320 is a wasteful number, since it uses less digits than its factorization.

1003002001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759850026 (or 759850022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003002001320 its reverse (231002003001), we get a palindrome (1234004004321).

The spelling of 1003002001320 in words is "one trillion, three billion, two million, one thousand, three hundred twenty".