13066131456 has 864 divisors, whose sum is σ = 49812628320. Its totient is φ = 3269984256.

The previous prime is 13066131443. The next prime is 13066131457. The reversal of 13066131456 is 65413166031.

13066131456 is a `hidden beast` number, since 1 + 30 + 6 + 613 + 1 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13066131456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13066131457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353138670 + ... + 353138706.

It is an arithmetic number, because the mean of its divisors is an integer number (57653505).

Almost surely, 2^13066131456 is an apocalyptic number.

13066131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906314160).

13066131456 is an abundant number, since it is smaller than the sum of its proper divisors (36746496864).

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

13066131456 is a wasteful number, since it uses less digits than its factorization.

13066131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 13066131456 its reverse (65413166031), we get a palindrome (78479297487).

The spelling of 13066131456 in words is "thirteen billion, sixty-six million, one hundred thirty-one thousand, four hundred fifty-six".