102307130314020 has 144 divisors (see below), whose sum is σ = 328623491484288. Its totient is φ = 25674187576320.

The previous prime is 102307130314001. The next prime is 102307130314021. The reversal of 102307130314020 is 20413031703201.

It is a happy number.

102307130314020 is a `hidden beast` number, since 1 + 0 + 230 + 71 + 30 + 314 + 0 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (102307130314021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25313175 + ... + 29075265.

It is an arithmetic number, because the mean of its divisors is an integer number (2282107579752).

Almost surely, 2^{102307130314020} is an apocalyptic number.

102307130314020 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 102307130314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164311745742144).

102307130314020 is an abundant number, since it is smaller than the sum of its proper divisors (226316361170268).

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

102307130314020 is a wasteful number, since it uses less digits than its factorization.

102307130314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771010 (or 3771005 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 102307130314020 in words is "one hundred two trillion, three hundred seven billion, one hundred thirty million, three hundred fourteen thousand, twenty".