102013223313000 has 128 divisors (see below), whose sum is σ = 318327335838720. Its totient is φ = 27199587833600.

The previous prime is 102013223312977. The next prime is 102013223313047. The reversal of 102013223313000 is 313322310201.

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, 18292969 + ... + 23209031.

It is an arithmetic number, because the mean of its divisors is an integer number (2486932311240).

Almost surely, 2^{102013223313000} is an apocalyptic number.

102013223313000 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 102013223313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159163667919360).

102013223313000 is an abundant number, since it is smaller than the sum of its proper divisors (216314112525720).

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

102013223313000 is a wasteful number, since it uses less digits than its factorization.

102013223313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923004 (or 4922990 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102013223313000 its reverse (313322310201), we get a palindrome (102326545623201).

The spelling of 102013223313000 in words is "one hundred two trillion, thirteen billion, two hundred twenty-three million, three hundred thirteen thousand".