1002311211321 has 24 divisors (see below), whose sum is σ = 1655039041344. Its totient is φ = 572600397600.

The previous prime is 1002311211299. The next prime is 1002311211329. The reversal of 1002311211321 is 1231121132001.

1002311211321 is a `hidden beast` number, since 10 + 0 + 2 + 311 + 21 + 1 + 321 = 666.

It is not a de Polignac number, because 1002311211321 - 2¹⁷ = 1002311080249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002311211294 and 1002311211303.

It is not an unprimeable number, because it can be changed into a prime (1002311211329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1823046 + ... + 2308271.

It is an arithmetic number, because the mean of its divisors is an integer number (68959960056).

Almost surely, 2^{1002311211321} is an apocalyptic number.

It is an amenable number.

1002311211321 is a deficient number, since it is larger than the sum of its proper divisors (652727830023).

1002311211321 is a wasteful number, since it uses less digits than its factorization.

1002311211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135181 (or 4135178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1002311211321 its reverse (1231121132001), we get a palindrome (2233432343322).

The spelling of 1002311211321 in words is "one trillion, two billion, three hundred eleven million, two hundred eleven thousand, three hundred twenty-one".