2002314232213 has 32 divisors (see below), whose sum is σ = 2159413466112. Its totient is φ = 1851957043200.

The previous prime is 2002314232211. The next prime is 2002314232249. The reversal of 2002314232213 is 3122324132002.

It is a cyclic number.

It is not a de Polignac number, because 2002314232213 - 2¹ = 2002314232211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002314232211) 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 in 31 ways as a sum of consecutive naturals, for example, 49301431 + ... + 49342027.

It is an arithmetic number, because the mean of its divisors is an integer number (67481670816).

Almost surely, 2^{2002314232213} is an apocalyptic number.

2002314232213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2002314232213 is a deficient number, since it is larger than the sum of its proper divisors (157099233899).

2002314232213 is a wasteful number, since it uses less digits than its factorization.

2002314232213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2002314232213 its reverse (3122324132002), we get a palindrome (5124638364215).

The spelling of 2002314232213 in words is "two trillion, two billion, three hundred fourteen million, two hundred thirty-two thousand, two hundred thirteen".