13124133000 has 256 divisors, whose sum is σ = 49634208000. Its totient is φ = 3181536000.

The previous prime is 13124132963. The next prime is 13124133007. The reversal of 13124133000 is 33142131.

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

It is not an unprimeable number, because it can be changed into a prime (13124133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274906 + ... + 319094.

It is an arithmetic number, because the mean of its divisors is an integer number (193883625).

Almost surely, 2^13124133000 is an apocalyptic number.

13124133000 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 13124133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24817104000).

13124133000 is an abundant number, since it is smaller than the sum of its proper divisors (36510075000).

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

13124133000 is a wasteful number, since it uses less digits than its factorization.

13124133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44230 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13124133000 its reverse (33142131), we get a palindrome (13157275131).

The spelling of 13124133000 in words is "thirteen billion, one hundred twenty-four million, one hundred thirty-three thousand".