102300141311313 has 16 divisors (see below), whose sum is σ = 148823532422400. Its totient is φ = 61990366110480.

The previous prime is 102300141311287. The next prime is 102300141311339. The reversal of 102300141311313 is 313113141003201.

It is an interprime number because it is at equal distance from previous prime (102300141311287) and next prime (102300141311339).

It is not a de Polignac number, because 102300141311313 - 2¹⁶ = 102300141245777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102300141311813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242774623 + ... + 243195636.

It is an arithmetic number, because the mean of its divisors is an integer number (9301470776400).

Almost surely, 2^{102300141311313} is an apocalyptic number.

It is an amenable number.

102300141311313 is a deficient number, since it is larger than the sum of its proper divisors (46523391111087).

102300141311313 is a wasteful number, since it uses less digits than its factorization.

102300141311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485976652.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102300141311313 its reverse (313113141003201), we get a palindrome (415413282314514).

The spelling of 102300141311313 in words is "one hundred two trillion, three hundred billion, one hundred forty-one million, three hundred eleven thousand, three hundred thirteen".