102010331313 has 64 divisors (see below), whose sum is σ = 165683404800. Its totient is φ = 61518502080.

The previous prime is 102010331273. The next prime is 102010331363. The reversal of 102010331313 is 313133010201.

It is a happy number.

102010331313 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 0 + 331 + 313 = 666.

It is not a de Polignac number, because 102010331313 - 2⁶ = 102010331249 is a prime.

It is a super-2 number, since 2×102010331313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010331363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68324995 + ... + 68326487.

It is an arithmetic number, because the mean of its divisors is an integer number (2588803200).

Almost surely, 2^102010331313 is an apocalyptic number.

It is an amenable number.

102010331313 is a deficient number, since it is larger than the sum of its proper divisors (63673073487).

102010331313 is a wasteful number, since it uses less digits than its factorization.

102010331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102010331313 its reverse (313133010201), we get a palindrome (415143341514).

The spelling of 102010331313 in words is "one hundred two billion, ten million, three hundred thirty-one thousand, three hundred thirteen".