13099288533408 has 576 divisors, whose sum is σ = 47665187361792. Its totient is φ = 3313344061440.

The previous prime is 13099288533407. The next prime is 13099288533467. The reversal of 13099288533408 is 80433588299031.

13099288533408 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 288 + 5 + 3 + 340 + 8 = 666.

13099288533408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13099288533407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321332035 + ... + 321372797.

It is an arithmetic number, because the mean of its divisors is an integer number (82752061392).

Almost surely, 2^{13099288533408} is an apocalyptic number.

13099288533408 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 13099288533408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832593680896).

13099288533408 is an abundant number, since it is smaller than the sum of its proper divisors (34565898828384).

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

13099288533408 is a wasteful number, since it uses less digits than its factorization.

13099288533408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41177 (or 41166 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13099288533408 in words is "thirteen trillion, ninety-nine billion, two hundred eighty-eight million, five hundred thirty-three thousand, four hundred eight".