102313444313201 has 48 divisors (see below), whose sum is σ = 113348317723200. Its totient is φ = 92281022782080.

The previous prime is 102313444313189. The next prime is 102313444313203.

102313444313201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102313444313201 - 2⁴² = 97915397802097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102313444313203) 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, 22650749195 + ... + 22650753711.

It is an arithmetic number, because the mean of its divisors is an integer number (2361423285900).

Almost surely, 2^{102313444313201} is an apocalyptic number.

102313444313201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102313444313201 is a deficient number, since it is larger than the sum of its proper divisors (11034873409999).

102313444313201 is a wasteful number, since it uses less digits than its factorization.

102313444313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 102313444313201 in words is "one hundred two trillion, three hundred thirteen billion, four hundred forty-four million, three hundred thirteen thousand, two hundred one".