202102313 has 24 divisors (see below), whose sum is σ = 240443784. Its totient is φ = 169344000.

The previous prime is 202102291. The next prime is 202102321. The reversal of 202102313 is 313201202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 184226329 = 4228^2 + 13573^2 .

It is not a de Polignac number, because 202102313 - 2⁶ = 202102249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202102343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479843 + ... + 480263.

It is an arithmetic number, because the mean of its divisors is an integer number (10018491).

Almost surely, 2^202102313 is an apocalyptic number.

It is an amenable number.

202102313 is a deficient number, since it is larger than the sum of its proper divisors (38341471).

202102313 is a wasteful number, since it uses less digits than its factorization.

202102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202102313 is about 14216.2693066782. The cubic root of 202102313 is about 586.8454764797.

Adding to 202102313 its reverse (313201202), we get a palindrome (515303515).

The spelling of 202102313 in words is "two hundred two million, one hundred two thousand, three hundred thirteen".