102350102013 has 16 divisors (see below), whose sum is σ = 151635573760. Its totient is φ = 68230794528.

The previous prime is 102350101979. The next prime is 102350102017. The reversal of 102350102013 is 310201053201.

102350102013 is a `hidden beast` number, since 102 + 350 + 10 + 201 + 3 = 666.

It is not a de Polignac number, because 102350102013 - 2⁹ = 102350101501 is a prime.

It is a super-3 number, since 3×102350102013³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102350102017) 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 15 ways as a sum of consecutive naturals, for example, 870756 + ... + 981282.

It is an arithmetic number, because the mean of its divisors is an integer number (9477223360).

Almost surely, 2^102350102013 is an apocalyptic number.

It is an amenable number.

102350102013 is a deficient number, since it is larger than the sum of its proper divisors (49285471747).

102350102013 is a wasteful number, since it uses less digits than its factorization.

102350102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144833 (or 144827 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 102350102013 its reverse (310201053201), we get a palindrome (412551155214).

The spelling of 102350102013 in words is "one hundred two billion, three hundred fifty million, one hundred two thousand, thirteen".