102310131032320 has 288 divisors, whose sum is σ = 251829012105216. Its totient is φ = 39805555507200.

The previous prime is 102310131032303. The next prime is 102310131032321. The reversal of 102310131032320 is 23230131013201.

102310131032320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102310131032291 and 102310131032300.

It is not an unprimeable number, because it can be changed into a prime (102310131032321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27451066297 + ... + 27451070023.

It is an arithmetic number, because the mean of its divisors is an integer number (874406292032).

Almost surely, 2^{102310131032320} is an apocalyptic number.

102310131032320 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 102310131032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125914506052608).

102310131032320 is an abundant number, since it is smaller than the sum of its proper divisors (149518881072896).

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

102310131032320 is a wasteful number, since it uses less digits than its factorization.

102310131032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6483 counting only the distinct ones).

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

Adding to 102310131032320 its reverse (23230131013201), we get a palindrome (125540262045521).

The spelling of 102310131032320 in words is "one hundred two trillion, three hundred ten billion, one hundred thirty-one million, thirty-two thousand, three hundred twenty".