102213130323313 has 8 divisors (see below), whose sum is σ = 103002160840488. Its totient is φ = 101427094230144.

The previous prime is 102213130323259. The next prime is 102213130323389. The reversal of 102213130323313 is 313323031312201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41897761231104 + 60315369092209 = 6472848^2 + 7766297^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102213130323313 - 2²¹ = 102213128226161 is a prime.

It is a super-2 number, since 2×102213130323313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213130923313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748537470 + ... + 748674007.

It is an arithmetic number, because the mean of its divisors is an integer number (12875270105061).

Almost surely, 2^{102213130323313} is an apocalyptic number.

It is an amenable number.

102213130323313 is a deficient number, since it is larger than the sum of its proper divisors (789030517175).

102213130323313 is a wasteful number, since it uses less digits than its factorization.

102213130323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497212003.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 102213130323313 its reverse (313323031312201), we get a palindrome (415536161635514).

The spelling of 102213130323313 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty million, three hundred twenty-three thousand, three hundred thirteen".