13012325811408 has 640 divisors, whose sum is σ = 44838730137600. Its totient is φ = 3149788723200.

The previous prime is 13012325811403. The next prime is 13012325811487. The reversal of 13012325811408 is 80411852321031.

13012325811408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012325811403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1393028818 + ... + 1393038158.

It is an arithmetic number, because the mean of its divisors is an integer number (70060515840).

Almost surely, 2^{13012325811408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012325811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419365068800).

13012325811408 is an abundant number, since it is smaller than the sum of its proper divisors (31826404326192).

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

13012325811408 is a wasteful number, since it uses less digits than its factorization.

13012325811408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9711 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 13012325811408 in words is "thirteen trillion, twelve billion, three hundred twenty-five million, eight hundred eleven thousand, four hundred eight".