102331320312000 has 448 divisors, whose sum is σ = 365038446374784. Its totient is φ = 25109762457600.

The previous prime is 102331320311981. The next prime is 102331320312041. The reversal of 102331320312000 is 213023133201.

102331320312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98386674 + ... + 99421326.

It is an arithmetic number, because the mean of its divisors is an integer number (814817960658).

Almost surely, 2^{102331320312000} is an apocalyptic number.

102331320312000 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 102331320312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182519223187392).

102331320312000 is an abundant number, since it is smaller than the sum of its proper divisors (262707126062784).

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

102331320312000 is a wasteful number, since it uses less digits than its factorization.

102331320312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035013 (or 1034993 counting only the distinct ones).

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

Adding to 102331320312000 its reverse (213023133201), we get a palindrome (102544343445201).

The spelling of 102331320312000 in words is "one hundred two trillion, three hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand".