2210003131813 has 2 divisors, whose sum is σ = 2210003131814. Its totient is φ = 2210003131812.

The previous prime is 2210003131793. The next prime is 2210003131829. The reversal of 2210003131813 is 3181313000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116771837569 + 93231294244 = 1454913^2 + 305338^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210003131813 - 2²⁹ = 2209466260901 is a prime.

It is a super-2 number, since 2×2210003131813² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210003131913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105001565906 + 1105001565907.

It is an arithmetic number, because the mean of its divisors is an integer number (1105001565907).

Almost surely, 2^{2210003131813} is an apocalyptic number.

It is an amenable number.

2210003131813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210003131813 is an equidigital number, since it uses as much as digits as its factorization.

2210003131813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 2210003131813 its reverse (3181313000122), we get a palindrome (5391316131935).

The spelling of 2210003131813 in words is "two trillion, two hundred ten billion, three million, one hundred thirty-one thousand, eight hundred thirteen".