102101313000 has 128 divisors (see below), whose sum is σ = 320399089920. Its totient is φ = 27069497600.

The previous prime is 102101312921. The next prime is 102101313019. The reversal of 102101313000 is 313101201.

102101313000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420637 + ... + 617363.

It is an arithmetic number, because the mean of its divisors is an integer number (2503117890).

Almost surely, 2^102101313000 is an apocalyptic number.

102101313000 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 102101313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160199544960).

102101313000 is an abundant number, since it is smaller than the sum of its proper divisors (218297776920).

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

102101313000 is a wasteful number, since it uses less digits than its factorization.

102101313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196924 (or 196910 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102101313000 its reverse (313101201), we get a palindrome (102414414201).

The spelling of 102101313000 in words is "one hundred two billion, one hundred one million, three hundred thirteen thousand".