2002312021311 has 128 divisors (see below), whose sum is σ = 3497754624000. Its totient is φ = 1131506016480.

The previous prime is 2002312021291. The next prime is 2002312021321. The reversal of 2002312021311 is 1131202132002.

2002312021311 is a `hidden beast` number, since 20 + 0 + 2 + 312 + 0 + 21 + 311 = 666.

It is not a de Polignac number, because 2002312021311 - 2⁵ = 2002312021279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002312021321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1361190306 + ... + 1361191776.

It is an arithmetic number, because the mean of its divisors is an integer number (27326208000).

Almost surely, 2^{2002312021311} is an apocalyptic number.

2002312021311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002312021311 is a deficient number, since it is larger than the sum of its proper divisors (1495442602689).

2002312021311 is a wasteful number, since it uses less digits than its factorization.

2002312021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002312021311 its reverse (1131202132002), we get a palindrome (3133514153313).

The spelling of 2002312021311 in words is "two trillion, two billion, three hundred twelve million, twenty-one thousand, three hundred eleven".