13211181689640 has 512 divisors, whose sum is σ = 45314646220800. Its totient is φ = 3052780093440.

The previous prime is 13211181689591. The next prime is 13211181689681. The reversal of 13211181689640 is 4698618111231.

13211181689640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941698146 + ... + 941712174.

It is an arithmetic number, because the mean of its divisors is an integer number (88505168400).

Almost surely, 2^{13211181689640} is an apocalyptic number.

13211181689640 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 13211181689640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657323110400).

13211181689640 is an abundant number, since it is smaller than the sum of its proper divisors (32103464531160).

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

13211181689640 is a wasteful number, since it uses less digits than its factorization.

13211181689640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14497 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 13211181689640 in words is "thirteen trillion, two hundred eleven billion, one hundred eighty-one million, six hundred eighty-nine thousand, six hundred forty".