102126313 has 8 divisors (see below), whose sum is σ = 106001280. Its totient is φ = 98274960.

The previous prime is 102126301. The next prime is 102126317. The reversal of 102126313 is 313621201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102126313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102126317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3168 + ... + 14638.

It is an arithmetic number, because the mean of its divisors is an integer number (13250160).

Almost surely, 2^102126313 is an apocalyptic number.

It is an amenable number.

102126313 is a deficient number, since it is larger than the sum of its proper divisors (3874967).

102126313 is a wasteful number, since it uses less digits than its factorization.

102126313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102126313 is about 10105.7564288874. The cubic root of 102126313 is about 467.4256612044.

Adding to 102126313 its reverse (313621201), we get a palindrome (415747514).

The spelling of 102126313 in words is "one hundred two million, one hundred twenty-six thousand, three hundred thirteen".