1002001003311 has 16 divisors (see below), whose sum is σ = 1665664005888. Its totient is φ = 520520001600.

The previous prime is 1002001003249. The next prime is 1002001003337. The reversal of 1002001003311 is 1133001002001.

It is not a de Polignac number, because 1002001003311 - 2¹⁴ = 1002000986927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001003361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2168833110 + ... + 2168833571.

It is an arithmetic number, because the mean of its divisors is an integer number (104104000368).

Almost surely, 2^{1002001003311} is an apocalyptic number.

1002001003311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002001003311 is a deficient number, since it is larger than the sum of its proper divisors (663663002577).

1002001003311 is a wasteful number, since it uses less digits than its factorization.

1002001003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337666702.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1002001003311 its reverse (1133001002001), we get a palindrome (2135002005312).

The spelling of 1002001003311 in words is "one trillion, two billion, one million, three thousand, three hundred eleven".