13001361408 has 192 divisors, whose sum is σ = 44016336000. Its totient is φ = 3714564096.

The previous prime is 13001361407. The next prime is 13001361413. The reversal of 13001361408 is 80416310031.

13001361408 is a `hidden beast` number, since 1 + 30 + 0 + 13 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13001361408² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13001361407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370278 + ... + 403866.

It is an arithmetic number, because the mean of its divisors is an integer number (229251750).

Almost surely, 2^13001361408 is an apocalyptic number.

13001361408 is a gapful number since it is divisible by the number (18) 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 13001361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008168000).

13001361408 is an abundant number, since it is smaller than the sum of its proper divisors (31014974592).

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

13001361408 is an equidigital number, since it uses as much as digits as its factorization.

13001361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33627 (or 33601 counting only the distinct ones).

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

Adding to 13001361408 its reverse (80416310031), we get a palindrome (93417671439).

The spelling of 13001361408 in words is "thirteen billion, one million, three hundred sixty-one thousand, four hundred eight".