102213122313 has 16 divisors (see below), whose sum is σ = 137761880256. Its totient is φ = 67403965440.

The previous prime is 102213122279. The next prime is 102213122321. The reversal of 102213122313 is 313221312201.

It is not a de Polignac number, because 102213122313 - 2²⁵ = 102179567881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102213122313.

It is not an unprimeable number, because it can be changed into a prime (102213122393) 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 15 ways as a sum of consecutive naturals, for example, 464878 + ... + 648488.

It is an arithmetic number, because the mean of its divisors is an integer number (8610117516).

Almost surely, 2^102213122313 is an apocalyptic number.

It is an amenable number.

102213122313 is a deficient number, since it is larger than the sum of its proper divisors (35548757943).

102213122313 is a wasteful number, since it uses less digits than its factorization.

102213122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185624.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102213122313 its reverse (313221312201), we get a palindrome (415434434514).

The spelling of 102213122313 in words is "one hundred two billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred thirteen".