13102314510006 has 32 divisors (see below), whose sum is σ = 29526342566400. Its totient is φ = 4305924955080.

The previous prime is 13102314509983. The next prime is 13102314510011. The reversal of 13102314510006 is 60001541320131.

It is a happy number.

13102314510006 is a `hidden beast` number, since 13 + 102 + 31 + 4 + 510 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×13102314510006² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708696546 + ... + 1708704213.

It is an arithmetic number, because the mean of its divisors is an integer number (922698205200).

Almost surely, 2^{13102314510006} is an apocalyptic number.

13102314510006 is an abundant number, since it is smaller than the sum of its proper divisors (16424028056394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102314510006 is a wasteful number, since it uses less digits than its factorization.

13102314510006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417400841 (or 3417400835 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13102314510006 its reverse (60001541320131), we get a palindrome (73103855830137).

The spelling of 13102314510006 in words is "thirteen trillion, one hundred two billion, three hundred fourteen million, five hundred ten thousand, six".