13130414134110 has 288 divisors, whose sum is σ = 43110414734400. Its totient is φ = 2770371991296.

The previous prime is 13130414134087. The next prime is 13130414134139. The reversal of 13130414134110 is 1143141403131.

13130414134110 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 414 + 134 + 110 = 666.

It is a super-2 number, since 2×13130414134110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3958612 + ... + 6475448.

It is an arithmetic number, because the mean of its divisors is an integer number (149688940050).

Almost surely, 2^{13130414134110} is an apocalyptic number.

13130414134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130414134110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555207367200).

13130414134110 is an abundant number, since it is smaller than the sum of its proper divisors (29980000600290).

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

13130414134110 is a wasteful number, since it uses less digits than its factorization.

13130414134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516897 (or 2516867 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13130414134110 its reverse (1143141403131), we get a palindrome (14273555537241).

The spelling of 13130414134110 in words is "thirteen trillion, one hundred thirty billion, four hundred fourteen million, one hundred thirty-four thousand, one hundred ten".