102313311340014 has 48 divisors (see below), whose sum is σ = 232037665711488. Its totient is φ = 33785704039032.

The previous prime is 102313311339997. The next prime is 102313311340049. The reversal of 102313311340014 is 410043113313201.

102313311340014 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 3 + 311 + 340 + 0 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102313311340014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 983692002 + ... + 983796005.

It is an arithmetic number, because the mean of its divisors is an integer number (4834118035656).

Almost surely, 2^{102313311340014} is an apocalyptic number.

102313311340014 is an abundant number, since it is smaller than the sum of its proper divisors (129724354371474).

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

102313311340014 is a wasteful number, since it uses less digits than its factorization.

102313311340014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967488131 (or 1967488119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102313311340014 its reverse (410043113313201), we get a palindrome (512356424653215).

The spelling of 102313311340014 in words is "one hundred two trillion, three hundred thirteen billion, three hundred eleven million, three hundred forty thousand, fourteen".