2002132023013 has 2 divisors, whose sum is σ = 2002132023014. Its totient is φ = 2002132023012.

The previous prime is 2002132023011. The next prime is 2002132023019. The reversal of 2002132023013 is 3103202312002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1749844815489 + 252287207524 = 1322817^2 + 502282^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002132023013 - 2¹ = 2002132023011 is a prime.

Together with 2002132023011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002132023011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001066011506 + 1001066011507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001066011507).

Almost surely, 2^{2002132023013} is an apocalyptic number.

It is an amenable number.

2002132023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002132023013 is an equidigital number, since it uses as much as digits as its factorization.

2002132023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2002132023013 its reverse (3103202312002), we get a palindrome (5105334335015).

The spelling of 2002132023013 in words is "two trillion, two billion, one hundred thirty-two million, twenty-three thousand, thirteen".