102312121313 has 16 divisors (see below), whose sum is σ = 105368212992. Its totient is φ = 99283968000.

The previous prime is 102312121273. The next prime is 102312121319. The reversal of 102312121313 is 313121213201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102312121313 - 2²⁴ = 102295344097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102312121319) 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 15 ways as a sum of consecutive naturals, for example, 7003745 + ... + 7018337.

It is an arithmetic number, because the mean of its divisors is an integer number (6585513312).

Almost surely, 2^102312121313 is an apocalyptic number.

It is an amenable number.

102312121313 is a deficient number, since it is larger than the sum of its proper divisors (3056091679).

102312121313 is a wasteful number, since it uses less digits than its factorization.

102312121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102312121313 its reverse (313121213201), we get a palindrome (415433334514).

The spelling of 102312121313 in words is "one hundred two billion, three hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".