13783431120 has 80 divisors (see below), whose sum is σ = 42825419712. Its totient is φ = 3667256320.

The previous prime is 13783431119. The next prime is 13783431169. The reversal of 13783431120 is 2113438731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41500 + ... + 171140.

Almost surely, 2^13783431120 is an apocalyptic number.

13783431120 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 13783431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21412709856).

13783431120 is an abundant number, since it is smaller than the sum of its proper divisors (29041988592).

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

13783431120 is a wasteful number, since it uses less digits than its factorization.

13783431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130100 (or 130094 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 13783431120 its reverse (2113438731), we get a palindrome (15896869851).

The spelling of 13783431120 in words is "thirteen billion, seven hundred eighty-three million, four hundred thirty-one thousand, one hundred twenty".