102102000223313 has 8 divisors (see below), whose sum is σ = 104873164069800. Its totient is φ = 99331449552000.

The previous prime is 102102000223291. The next prime is 102102000223319. The reversal of 102102000223313 is 313322000201201.

It can be written as a sum of positive squares in 4 ways, for example, as 31798185664144 + 70303814559169 = 5638988^2 + 8384737^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102102000223313 - 2²² = 102101996029009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102000223319) 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 7 ways as a sum of consecutive naturals, for example, 152956238 + ... + 153622311.

It is an arithmetic number, because the mean of its divisors is an integer number (13109145508725).

Almost surely, 2^{102102000223313} is an apocalyptic number.

It is an amenable number.

102102000223313 is a deficient number, since it is larger than the sum of its proper divisors (2771163846487).

102102000223313 is an equidigital number, since it uses as much as digits as its factorization.

102102000223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306587587.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102102000223313 its reverse (313322000201201), we get a palindrome (415424000424514).

The spelling of 102102000223313 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-three thousand, three hundred thirteen".