2210312123213 has 8 divisors (see below), whose sum is σ = 2340352942200. Its totient is φ = 2080273799680.

The previous prime is 2210312123177. The next prime is 2210312123233. The reversal of 2210312123213 is 3123212130122.

It can be written as a sum of positive squares in 4 ways, for example, as 64022662729 + 2146289460484 = 253027^2 + 1465022^2 .

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

It is not a de Polignac number, because 2210312123213 - 2⁸ = 2210312122957 is a prime.

It is a super-4 number, since 4×2210312123213⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210312123233) 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 7 ways as a sum of consecutive naturals, for example, 1384463 + ... + 2517411.

It is an arithmetic number, because the mean of its divisors is an integer number (292544117775).

Almost surely, 2^{2210312123213} is an apocalyptic number.

It is an amenable number.

2210312123213 is a deficient number, since it is larger than the sum of its proper divisors (130040818987).

2210312123213 is a wasteful number, since it uses less digits than its factorization.

2210312123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247727.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2210312123213 its reverse (3123212130122), we get a palindrome (5333524253335).

The spelling of 2210312123213 in words is "two trillion, two hundred ten billion, three hundred twelve million, one hundred twenty-three thousand, two hundred thirteen".