102212313 has 32 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 54647040.

The previous prime is 102212311. The next prime is 102212323. The reversal of 102212313 is 313212201.

It is not a de Polignac number, because 102212313 - 2¹ = 102212311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212292 and 102212301.

It is not an unprimeable number, because it can be changed into a prime (102212311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67438 + ... + 68936.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^102212313 is an apocalyptic number.

It is an amenable number.

102212313 is a deficient number, since it is larger than the sum of its proper divisors (63675687).

102212313 is a wasteful number, since it uses less digits than its factorization.

102212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102212313 is about 10110.0105341191. The cubic root of 102212313 is about 467.5568299088.

Adding to 102212313 its reverse (313212201), we get a palindrome (415424514).

The spelling of 102212313 in words is "one hundred two million, two hundred twelve thousand, three hundred thirteen".