102321313000312 has 128 divisors (see below), whose sum is σ = 229411452441600. Its totient is φ = 41832139852800.

The previous prime is 102321313000307. The next prime is 102321313000349. The reversal of 102321313000312 is 213000313123201.

It is a congruent number.

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, 780244764 + ... + 780375892.

It is an arithmetic number, because the mean of its divisors is an integer number (1792276972200).

Almost surely, 2^{102321313000312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102321313000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114705726220800).

102321313000312 is an abundant number, since it is smaller than the sum of its proper divisors (127090139441288).

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

102321313000312 is a wasteful number, since it uses less digits than its factorization.

102321313000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132797 (or 132793 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102321313000312 its reverse (213000313123201), we get a palindrome (315321626123513).

The spelling of 102321313000312 in words is "one hundred two trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twelve", and thus it is an aban number.