13323108040704 has 1440 divisors, whose sum is σ = 50864114488320. Its totient is φ = 3407472230400.

The previous prime is 13323108040687. The next prime is 13323108040709. The reversal of 13323108040704 is 40704080132331.

13323108040704 is a `hidden beast` number, since 1 + 332 + 310 + 8 + 0 + 4 + 0 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323108040709) 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, 16928980599 + ... + 16928981385.

It is an arithmetic number, because the mean of its divisors is an integer number (35322301728).

Almost surely, 2^{13323108040704} is an apocalyptic number.

13323108040704 is a gapful number since it is divisible by the number (14) 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 13323108040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25432057244160).

13323108040704 is an abundant number, since it is smaller than the sum of its proper divisors (37541006447616).

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

13323108040704 is an equidigital number, since it uses as much as digits as its factorization.

13323108040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13323108040704 in words is "thirteen trillion, three hundred twenty-three billion, one hundred eight million, forty thousand, seven hundred four".