102001322313 has 12 divisors (see below), whose sum is σ = 160729356528. Its totient is φ = 61818983160.

The previous prime is 102001322309. The next prime is 102001322321. The reversal of 102001322313 is 313223100201.

102001322313 is a `hidden beast` number, since 10 + 20 + 0 + 1 + 322 + 313 = 666.

It is not a de Polignac number, because 102001322313 - 2² = 102001322309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102001322113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515158095 + ... + 515158292.

It is an arithmetic number, because the mean of its divisors is an integer number (13394113044).

Almost surely, 2^102001322313 is an apocalyptic number.

It is an amenable number.

102001322313 is a deficient number, since it is larger than the sum of its proper divisors (58728034215).

102001322313 is a wasteful number, since it uses less digits than its factorization.

102001322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030316404 (or 1030316401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102001322313 its reverse (313223100201), we get a palindrome (415224422514).

The spelling of 102001322313 in words is "one hundred two billion, one million, three hundred twenty-two thousand, three hundred thirteen".