2002132013213 has 16 divisors (see below), whose sum is σ = 2063189847600. Its totient is φ = 1941944209920.

The previous prime is 2002132013209. The next prime is 2002132013237. The reversal of 2002132013213 is 3123102312002.

It can be written as a sum of positive squares in 8 ways, for example, as 320488457689 + 1681643555524 = 566117^2 + 1296782^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002132013213 - 2² = 2002132013209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002132012213) 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, 29348123 + ... + 29416263.

It is an arithmetic number, because the mean of its divisors is an integer number (128949365475).

Almost surely, 2^{2002132013213} is an apocalyptic number.

It is an amenable number.

2002132013213 is a deficient number, since it is larger than the sum of its proper divisors (61057834387).

2002132013213 is an equidigital number, since it uses as much as digits as its factorization.

2002132013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74512.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2002132013213 its reverse (3123102312002), we get a palindrome (5125234325215).

The spelling of 2002132013213 in words is "two trillion, two billion, one hundred thirty-two million, thirteen thousand, two hundred thirteen".