13122132000 has 384 divisors, whose sum is σ = 44579808000. Its totient is φ = 3372032000.

The previous prime is 13122131987. The next prime is 13122132043. The reversal of 13122132000 is 23122131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73307911 + ... + 73308089.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^13122132000 is an apocalyptic number.

13122132000 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 13122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904000).

13122132000 is an abundant number, since it is smaller than the sum of its proper divisors (31457676000).

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

13122132000 is a wasteful number, since it uses less digits than its factorization.

13122132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13122132000 its reverse (23122131), we get a palindrome (13145254131).

It can be divided in two parts, 1312 and 2132000, that added together give a palindrome (2133312).

The spelling of 13122132000 in words is "thirteen billion, one hundred twenty-two million, one hundred thirty-two thousand".