13413431223400 has 384 divisors, whose sum is σ = 34770624537600. Its totient is φ = 4780162252800.

The previous prime is 13413431223331. The next prime is 13413431223427. The reversal of 13413431223400 is 432213431431.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7100809656 + ... + 7100811544.

It is an arithmetic number, because the mean of its divisors is an integer number (90548501400).

Almost surely, 2^{13413431223400} is an apocalyptic number.

13413431223400 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 13413431223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385312268800).

13413431223400 is an abundant number, since it is smaller than the sum of its proper divisors (21357193314200).

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

13413431223400 is a wasteful number, since it uses less digits than its factorization.

13413431223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13413431223400 its reverse (432213431431), we get a palindrome (13845644654831).

The spelling of 13413431223400 in words is "thirteen trillion, four hundred thirteen billion, four hundred thirty-one million, two hundred twenty-three thousand, four hundred".