13101264000 has 640 divisors, whose sum is σ = 53139715200. Its totient is φ = 3172608000.

The previous prime is 13101263999. The next prime is 13101264073. The reversal of 13101264000 is 46210131.

It is a happy number.

13101264000 is a `hidden beast` number, since 1 + 3 + 10 + 12 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255541 + ... + 14256459.

It is an arithmetic number, because the mean of its divisors is an integer number (83030805).

Almost surely, 2^13101264000 is an apocalyptic number.

13101264000 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 13101264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569857600).

13101264000 is an abundant number, since it is smaller than the sum of its proper divisors (40038451200).

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

13101264000 is an equidigital number, since it uses as much as digits as its factorization.

13101264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101264000 its reverse (46210131), we get a palindrome (13147474131).

The spelling of 13101264000 in words is "thirteen billion, one hundred one million, two hundred sixty-four thousand".