13164381700 has 72 divisors (see below), whose sum is σ = 29388744000. Its totient is φ = 5114712960.

The previous prime is 13164381691. The next prime is 13164381761. The reversal of 13164381700 is 718346131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435601 + ... + 2440999.

It is an arithmetic number, because the mean of its divisors is an integer number (408177000).

Almost surely, 2^13164381700 is an apocalyptic number.

13164381700 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 13164381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694372000).

13164381700 is an abundant number, since it is smaller than the sum of its proper divisors (16224362300).

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

13164381700 is a wasteful number, since it uses less digits than its factorization.

13164381700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 13164381700 in words is "thirteen billion, one hundred sixty-four million, three hundred eighty-one thousand, seven hundred".