13363813932 has 192 divisors, whose sum is σ = 38910197760. Its totient is φ = 3483648000.

The previous prime is 13363813909. The next prime is 13363813933. The reversal of 13363813932 is 23931836331.

13363813932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13363813933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12714807 + ... + 12715857.

It is an arithmetic number, because the mean of its divisors is an integer number (202657280).

Almost surely, 2^13363813932 is an apocalyptic number.

13363813932 is a gapful number since it is divisible by the number (12) 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 13363813932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455098880).

13363813932 is an abundant number, since it is smaller than the sum of its proper divisors (25546383828).

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

13363813932 is a wasteful number, since it uses less digits than its factorization.

13363813932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1370 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The spelling of 13363813932 in words is "thirteen billion, three hundred sixty-three million, eight hundred thirteen thousand, nine hundred thirty-two".