13097242026432 has 336 divisors, whose sum is σ = 40231277992960. Its totient is φ = 4173896563200.

The previous prime is 13097242026413. The next prime is 13097242026437. The reversal of 13097242026432 is 23462024279031.

13097242026432 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 2 + 4 + 202 + 6 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097242026437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369012207 + ... + 369047697.

Almost surely, 2^{13097242026432} is an apocalyptic number.

13097242026432 is a gapful number since it is divisible by the number (12) 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 13097242026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115638996480).

13097242026432 is an abundant number, since it is smaller than the sum of its proper divisors (27134035966528).

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

13097242026432 is an equidigital number, since it uses as much as digits as its factorization.

13097242026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35709 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13097242026432 in words is "thirteen trillion, ninety-seven billion, two hundred forty-two million, twenty-six thousand, four hundred thirty-two".