211220252313 has 32 divisors (see below), whose sum is σ = 343663896576. Its totient is φ = 112764693888.

The previous prime is 211220252303. The next prime is 211220252329. The reversal of 211220252313 is 313252022112.

211220252313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211220252313 - 2¹⁶ = 211220186777 is a prime.

It is a super-2 number, since 2×211220252313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220252303) 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, 5064220 + ... + 5105757.

It is an arithmetic number, because the mean of its divisors is an integer number (10739496768).

Almost surely, 2^211220252313 is an apocalyptic number.

211220252313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211220252313 is a deficient number, since it is larger than the sum of its proper divisors (132443644263).

211220252313 is a wasteful number, since it uses less digits than its factorization.

211220252313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170053.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 211220252313 its reverse (313252022112), we get a palindrome (524472274425).

The spelling of 211220252313 in words is "two hundred eleven billion, two hundred twenty million, two hundred fifty-two thousand, three hundred thirteen".