2002131440213 has 8 divisors (see below), whose sum is σ = 2009972194200. Its totient is φ = 1994291077120.

The previous prime is 2002131440171. The next prime is 2002131440293. The reversal of 2002131440213 is 3120441312002.

It can be written as a sum of positive squares in 4 ways, for example, as 1186753141924 + 815378298289 = 1089382^2 + 902983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002131440213 - 2⁶ = 2002131440149 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 (2002131440293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14309273 + ... + 14448513.

It is an arithmetic number, because the mean of its divisors is an integer number (251246524275).

Almost surely, 2^{2002131440213} is an apocalyptic number.

It is an amenable number.

2002131440213 is a deficient number, since it is larger than the sum of its proper divisors (7840753987).

2002131440213 is a wasteful number, since it uses less digits than its factorization.

2002131440213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195447.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2002131440213 its reverse (3120441312002), we get a palindrome (5122572752215).

The spelling of 2002131440213 in words is "two trillion, two billion, one hundred thirty-one million, four hundred forty thousand, two hundred thirteen".