102313000 has 64 divisors (see below), whose sum is σ = 242021520. Its totient is φ = 40480000.

The previous prime is 102312983. The next prime is 102313019. The reversal of 102313000 is 313201.

It can be written as a sum of positive squares in 8 ways, for example, as 1069156 + 101243844 = 1034^2 + 10062^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100494 + ... + 101506.

Almost surely, 2^102313000 is an apocalyptic number.

102313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010760).

102313000 is an abundant number, since it is smaller than the sum of its proper divisors (139708520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102313000 is a wasteful number, since it uses less digits than its factorization.

102313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102313000 is about 10114.9888778980. The cubic root of 102313000 is about 467.7103060197.

Adding to 102313000 its reverse (313201), we get a palindrome (102626201).

It can be divided in two parts, 10231 and 3000, that added together give a palindrome (13231).

The spelling of 102313000 in words is "one hundred two million, three hundred thirteen thousand".