102314343333020 has 288 divisors, whose sum is σ = 280199104174080. Its totient is φ = 30642754222080.

The previous prime is 102314343332983. The next prime is 102314343333031. The reversal of 102314343333020 is 20333343413201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409406024 + ... + 409655856.

It is an arithmetic number, because the mean of its divisors is an integer number (972913556160).

Almost surely, 2^{102314343333020} is an apocalyptic number.

102314343333020 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 102314343333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140099552087040).

102314343333020 is an abundant number, since it is smaller than the sum of its proper divisors (177884760841060).

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

102314343333020 is a wasteful number, since it uses less digits than its factorization.

102314343333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250805 (or 250790 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 102314343333020 its reverse (20333343413201), we get a palindrome (122647686746221).

The spelling of 102314343333020 in words is "one hundred two trillion, three hundred fourteen billion, three hundred forty-three million, three hundred thirty-three thousand, twenty".