13124641332 has 144 divisors (see below), whose sum is σ = 34945827840. Its totient is φ = 3800995200.

The previous prime is 13124641307. The next prime is 13124641333. The reversal of 13124641332 is 23314642131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13124641332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124641333) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10661157 + ... + 10662387.

It is an arithmetic number, because the mean of its divisors is an integer number (242679360).

Almost surely, 2^13124641332 is an apocalyptic number.

13124641332 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 13124641332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472913920).

13124641332 is an abundant number, since it is smaller than the sum of its proper divisors (21821186508).

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

13124641332 is a wasteful number, since it uses less digits than its factorization.

13124641332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1343 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

It can be divided in two parts, 131246 and 41332, that added together give a triangular number (172578 = T₅₈₇).

The spelling of 13124641332 in words is "thirteen billion, one hundred twenty-four million, six hundred forty-one thousand, three hundred thirty-two".