102143313 has 12 divisors (see below), whose sum is σ = 147719988. Its totient is φ = 68012640.

The previous prime is 102143311. The next prime is 102143323. The reversal of 102143313 is 313341201.

102143313 = 1932² + 1933² + ... + 1958².

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 20277009 = 9048^2 + 4503^2 .

It is not a de Polignac number, because 102143313 - 2¹ = 102143311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102143311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 14363.

It is an arithmetic number, because the mean of its divisors is an integer number (12309999).

Almost surely, 2^102143313 is an apocalyptic number.

It is an amenable number.

102143313 is a deficient number, since it is larger than the sum of its proper divisors (45576675).

102143313 is a wasteful number, since it uses less digits than its factorization.

102143313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13824 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102143313 is about 10106.5974986639. The cubic root of 102143313 is about 467.4515957396.

Adding to 102143313 its reverse (313341201), we get a palindrome (415484514).

The spelling of 102143313 in words is "one hundred two million, one hundred forty-three thousand, three hundred thirteen".