102010233202313 has 32 divisors (see below), whose sum is σ = 108303577804800. Its totient is φ = 95812761715776.

The previous prime is 102010233202279. The next prime is 102010233202321. The reversal of 102010233202313 is 313202332010201.

It is a cyclic number.

It is not a de Polignac number, because 102010233202313 - 2²⁰ = 102010232153737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010233202333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2246750270 + ... + 2246795672.

It is an arithmetic number, because the mean of its divisors is an integer number (3384486806400).

Almost surely, 2^{102010233202313} is an apocalyptic number.

It is an amenable number.

102010233202313 is a deficient number, since it is larger than the sum of its proper divisors (6293344602487).

102010233202313 is a wasteful number, since it uses less digits than its factorization.

102010233202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47501.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102010233202313 its reverse (313202332010201), we get a palindrome (415212565212514).

The spelling of 102010233202313 in words is "one hundred two trillion, ten billion, two hundred thirty-three million, two hundred two thousand, three hundred thirteen".