2002033132313 has 2 divisors, whose sum is σ = 2002033132314. Its totient is φ = 2002033132312.

The previous prime is 2002033132303. The next prime is 2002033132339. The reversal of 2002033132313 is 3132313302002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1733970140809 + 268062991504 = 1316803^2 + 517748^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002033132313 - 2¹⁰ = 2002033131289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002033132303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001016566156 + 1001016566157.

It is an arithmetic number, because the mean of its divisors is an integer number (1001016566157).

Almost surely, 2^{2002033132313} is an apocalyptic number.

It is an amenable number.

2002033132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002033132313 is an equidigital number, since it uses as much as digits as its factorization.

2002033132313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2002033132313 its reverse (3132313302002), we get a palindrome (5134346434315).

The spelling of 2002033132313 in words is "two trillion, two billion, thirty-three million, one hundred thirty-two thousand, three hundred thirteen".