102322333113000 has 2048 divisors, whose sum is σ = 443729803345920. Its totient is φ = 18938880000000.

The previous prime is 102322333112963. The next prime is 102322333113041. The reversal of 102322333113000 is 311333223201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 37330291630 + ... + 37330294370.

It is an arithmetic number, because the mean of its divisors is an integer number (216664943040).

Almost surely, 2^{102322333113000} is an apocalyptic number.

102322333113000 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 102322333113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221864901672960).

102322333113000 is an abundant number, since it is smaller than the sum of its proper divisors (341407470232920).

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

102322333113000 is a wasteful number, since it uses less digits than its factorization.

102322333113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102322333113000 its reverse (311333223201), we get a palindrome (102633666336201).

The spelling of 102322333113000 in words is "one hundred two trillion, three hundred twenty-two billion, three hundred thirty-three million, one hundred thirteen thousand".