2002211131013 has 2 divisors, whose sum is σ = 2002211131014. Its totient is φ = 2002211131012.

The previous prime is 2002211131007. The next prime is 2002211131051. The reversal of 2002211131013 is 3101311122002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1609084639009 + 393126492004 = 1268497^2 + 626998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002211131013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002211130982 and 2002211131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002211131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001105565506 + 1001105565507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105565507).

Almost surely, 2^{2002211131013} is an apocalyptic number.

It is an amenable number.

2002211131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002211131013 is an equidigital number, since it uses as much as digits as its factorization.

2002211131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2002211131013 its reverse (3101311122002), we get a palindrome (5103522253015).

The spelling of 2002211131013 in words is "two trillion, two billion, two hundred eleven million, one hundred thirty-one thousand, thirteen".