102000320330013 has 96 divisors (see below), whose sum is σ = 173184171114240. Its totient is φ = 56637851719680.

The previous prime is 102000320330011. The next prime is 102000320330053. The reversal of 102000320330013 is 310033023000201.

102000320330013 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 0 + 320 + 330 + 0 + 13 = 666.

It is not a de Polignac number, because 102000320330013 - 2¹ = 102000320330011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000320330011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661279183 + ... + 661433411.

It is an arithmetic number, because the mean of its divisors is an integer number (1804001782440).

Almost surely, 2^{102000320330013} is an apocalyptic number.

It is an amenable number.

102000320330013 is a deficient number, since it is larger than the sum of its proper divisors (71183850784227).

102000320330013 is a wasteful number, since it uses less digits than its factorization.

102000320330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155539 (or 155536 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102000320330013 its reverse (310033023000201), we get a palindrome (412033343330214).

The spelling of 102000320330013 in words is "one hundred two trillion, three hundred twenty million, three hundred thirty thousand, thirteen".