13583753931132 has 576 divisors, whose sum is σ = 45505776476160. Its totient is φ = 3309823296000.

The previous prime is 13583753931091. The next prime is 13583753931149. The reversal of 13583753931132 is 23113935738531.

13583753931132 is a `hidden beast` number, since 1 + 3 + 58 + 3 + 75 + 393 + 1 + 132 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2538542257 + ... + 2538547607.

It is an arithmetic number, because the mean of its divisors is an integer number (79003084160).

Almost surely, 2^{13583753931132} is an apocalyptic number.

13583753931132 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 13583753931132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752888238080).

13583753931132 is an abundant number, since it is smaller than the sum of its proper divisors (31922022545028).

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

13583753931132 is a wasteful number, since it uses less digits than its factorization.

13583753931132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5857 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 13583753931132 in words is "thirteen trillion, five hundred eighty-three billion, seven hundred fifty-three million, nine hundred thirty-one thousand, one hundred thirty-two".