13113378432 has 480 divisors, whose sum is σ = 48135072960. Its totient is φ = 3398169600.

The previous prime is 13113378431. The next prime is 13113378503. The reversal of 13113378432 is 23487331131.

13113378432 is a `hidden beast` number, since 1 + 311 + 337 + 8 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13113378431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30425257 + ... + 30425687.

It is an arithmetic number, because the mean of its divisors is an integer number (100281402).

Almost surely, 2^13113378432 is an apocalyptic number.

13113378432 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 13113378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067536480).

13113378432 is an abundant number, since it is smaller than the sum of its proper divisors (35021694528).

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

13113378432 is an equidigital number, since it uses as much as digits as its factorization.

13113378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 454 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 13113378432 in words is "thirteen billion, one hundred thirteen million, three hundred seventy-eight thousand, four hundred thirty-two".