13213413400240 has 40 divisors (see below), whose sum is σ = 30728931079680. Its totient is φ = 5284032900096.

The previous prime is 13213413400223. The next prime is 13213413400249. The reversal of 13213413400240 is 4200431431231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13213413400199 and 13213413400208.

It is not an unprimeable number, because it can be changed into a prime (13213413400249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20500345 + ... + 21135064.

It is an arithmetic number, because the mean of its divisors is an integer number (768223276992).

Almost surely, 2^{13213413400240} is an apocalyptic number.

13213413400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213413400240 is an abundant number, since it is smaller than the sum of its proper divisors (17515517679440).

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

13213413400240 is a wasteful number, since it uses less digits than its factorization.

13213413400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41639389 (or 41639383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13213413400240 its reverse (4200431431231), we get a palindrome (17413844831471).

The spelling of 13213413400240 in words is "thirteen trillion, two hundred thirteen billion, four hundred thirteen million, four hundred thousand, two hundred forty".