102313210000 has 100 divisors (see below), whose sum is σ = 248012448112. Its totient is φ = 40875408000.

The previous prime is 102313209997. The next prime is 102313210009. The reversal of 102313210000 is 12313201.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (102313210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8824207 + ... + 8835793.

Almost surely, 2^102313210000 is an apocalyptic number.

102313210000 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 102313210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124006224056).

102313210000 is an abundant number, since it is smaller than the sum of its proper divisors (145699238112).

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

102313210000 is an equidigital number, since it uses as much as digits as its factorization.

102313210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102313210000 its reverse (12313201), we get a palindrome (102325523201).

The spelling of 102313210000 in words is "one hundred two billion, three hundred thirteen million, two hundred ten thousand".