13140340100406 has 64 divisors (see below), whose sum is σ = 30071683599360. Its totient is φ = 4250119338720.

The previous prime is 13140340100387. The next prime is 13140340100417. The reversal of 13140340100406 is 60400104304131.

13140340100406 is a `hidden beast` number, since 1 + 314 + 0 + 340 + 1 + 0 + 0 + 4 + 0 + 6 = 666.

It is a super-2 number, since 2×13140340100406² (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 self number, because there is not a number n which added to its sum of digits gives 13140340100406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8226880 + ... + 9693411.

It is an arithmetic number, because the mean of its divisors is an integer number (469870056240).

Almost surely, 2^{13140340100406} is an apocalyptic number.

13140340100406 is an abundant number, since it is smaller than the sum of its proper divisors (16931343498954).

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

13140340100406 is a wasteful number, since it uses less digits than its factorization.

13140340100406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920706 (or 17920700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13140340100406 its reverse (60400104304131), we get a palindrome (73540444404537).

The spelling of 13140340100406 in words is "thirteen trillion, one hundred forty billion, three hundred forty million, one hundred thousand, four hundred six".