13431213040 has 160 divisors (see below), whose sum is σ = 36106974720. Its totient is φ = 4551386112.

The previous prime is 13431213023. The next prime is 13431213043. The reversal of 13431213040 is 4031213431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431213043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24554047 + ... + 24554593.

It is an arithmetic number, because the mean of its divisors is an integer number (225668592).

Almost surely, 2^13431213040 is an apocalyptic number.

13431213040 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 13431213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053487360).

13431213040 is an abundant number, since it is smaller than the sum of its proper divisors (22675761680).

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

13431213040 is a wasteful number, since it uses less digits than its factorization.

13431213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13431213040 its reverse (4031213431), we get a palindrome (17462426471).

The spelling of 13431213040 in words is "thirteen billion, four hundred thirty-one million, two hundred thirteen thousand, forty".