102301103200013 has 8 divisors (see below), whose sum is σ = 102945045759480. Its totient is φ = 101658875535360.

The previous prime is 102301103199991. The next prime is 102301103200111. The reversal of 102301103200013 is 310002301103201.

It can be written as a sum of positive squares in 4 ways, for example, as 65383363656004 + 36917739544009 = 8085998^2 + 6075997^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102301103200013 - 2²² = 102301099005709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102301103199964 and 102301103200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301103250013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428604020 + ... + 428842637.

It is an arithmetic number, because the mean of its divisors is an integer number (12868130719935).

Almost surely, 2^{102301103200013} is an apocalyptic number.

It is an amenable number.

102301103200013 is a deficient number, since it is larger than the sum of its proper divisors (643942559467).

102301103200013 is an equidigital number, since it uses as much as digits as its factorization.

102301103200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857447407.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102301103200013 its reverse (310002301103201), we get a palindrome (412303404303214).

The spelling of 102301103200013 in words is "one hundred two trillion, three hundred one billion, one hundred three million, two hundred thousand, thirteen".