212302103313 has 16 divisors (see below), whose sum is σ = 295437142656. Its totient is φ = 135353412480.

The previous prime is 212302103297. The next prime is 212302103327. The reversal of 212302103313 is 313301203212.

It is not a de Polignac number, because 212302103313 - 2⁴ = 212302103297 is a prime.

It is a super-2 number, since 2×212302103313² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212302103313.

It is not an unprimeable number, because it can be changed into a prime (212302103113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29043 + ... + 652263.

It is an arithmetic number, because the mean of its divisors is an integer number (18464821416).

Almost surely, 2^212302103313 is an apocalyptic number.

212302103313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212302103313 is a deficient number, since it is larger than the sum of its proper divisors (83135039343).

212302103313 is a wasteful number, since it uses less digits than its factorization.

212302103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628184.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212302103313 its reverse (313301203212), we get a palindrome (525603306525).

It can be divided in two parts, 212302 and 103313, that added together give a triangular number (315615 = T₇₉₄).

The spelling of 212302103313 in words is "two hundred twelve billion, three hundred two million, one hundred three thousand, three hundred thirteen".