13261197312000 has 1536 divisors, whose sum is σ = 53953696742400. Its totient is φ = 3211591680000.

The previous prime is 13261197311801. The next prime is 13261197312001. The reversal of 13261197312000 is 21379116231.

13261197312000 is a `hidden beast` number, since 1 + 3 + 2 + 611 + 9 + 7 + 31 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (13261197312001) 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, 13381631505 + ... + 13381632495.

It is an arithmetic number, because the mean of its divisors is an integer number (35126104650).

Almost surely, 2^{13261197312000} is an apocalyptic number.

13261197312000 is a gapful number since it is divisible by the number (10) 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 13261197312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976848371200).

13261197312000 is an abundant number, since it is smaller than the sum of its proper divisors (40692499430400).

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

13261197312000 is an frugal number, since it uses more digits than its factorization.

13261197312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13261197312000 in words is "thirteen trillion, two hundred sixty-one billion, one hundred ninety-seven million, three hundred twelve thousand".