102322442313 has 48 divisors (see below), whose sum is σ = 181941142656. Its totient is φ = 53962018560.

The previous prime is 102322442311. The next prime is 102322442377. The reversal of 102322442313 is 313244223201.

102322442313 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 224 + 423 + 13 = 666.

It is not a de Polignac number, because 102322442313 - 2¹ = 102322442311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102322442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6435133 + ... + 6451013.

It is an arithmetic number, because the mean of its divisors is an integer number (3790440472).

Almost surely, 2^102322442313 is an apocalyptic number.

102322442313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102322442313 is a deficient number, since it is larger than the sum of its proper divisors (79618700343).

102322442313 is a wasteful number, since it uses less digits than its factorization.

102322442313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23774 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102322442313 its reverse (313244223201), we get a palindrome (415566665514).

The spelling of 102322442313 in words is "one hundred two billion, three hundred twenty-two million, four hundred forty-two thousand, three hundred thirteen".