102112012321313 has 4 divisors (see below), whose sum is σ = 102115401061908. Its totient is φ = 102108623580720.

The previous prime is 102112012321273. The next prime is 102112012321351. The reversal of 102112012321313 is 313123210211201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62564667107089 + 39547345214224 = 7909783^2 + 6288668^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112012321313 - 2²⁸ = 102111743885857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112012621313) 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 3 ways as a sum of consecutive naturals, for example, 1694325098 + ... + 1694385363.

It is an arithmetic number, because the mean of its divisors is an integer number (25528850265477).

Almost surely, 2^{102112012321313} is an apocalyptic number.

It is an amenable number.

102112012321313 is a deficient number, since it is larger than the sum of its proper divisors (3388740595).

102112012321313 is an equidigital number, since it uses as much as digits as its factorization.

102112012321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388740594.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102112012321313 its reverse (313123210211201), we get a palindrome (415235222532514).

The spelling of 102112012321313 in words is "one hundred two trillion, one hundred twelve billion, twelve million, three hundred twenty-one thousand, three hundred thirteen".