102210202313 has 4 divisors (see below), whose sum is σ = 102467659140. Its totient is φ = 101952745488.

The previous prime is 102210202309. The next prime is 102210202351. The reversal of 102210202313 is 313202012201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62044831744 + 40165370569 = 249088^2 + 200413^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210202313 - 2² = 102210202309 is a prime.

It is a super-3 number, since 3×102210202313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210202291 and 102210202300.

It is not an unprimeable number, because it can be changed into a prime (102210202513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128727818 + ... + 128728611.

It is an arithmetic number, because the mean of its divisors is an integer number (25616914785).

Almost surely, 2^102210202313 is an apocalyptic number.

It is an amenable number.

102210202313 is a deficient number, since it is larger than the sum of its proper divisors (257456827).

102210202313 is an equidigital number, since it uses as much as digits as its factorization.

102210202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257456826.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102210202313 its reverse (313202012201), we get a palindrome (415412214514).

The spelling of 102210202313 in words is "one hundred two billion, two hundred ten million, two hundred two thousand, three hundred thirteen".