13400213224300 has 144 divisors (see below), whose sum is σ = 33709597447680. Its totient is φ = 4528657059840.

The previous prime is 13400213224243. The next prime is 13400213224357. The reversal of 13400213224300 is 342231200431.

It is an interprime number because it is at equal distance from previous prime (13400213224243) and next prime (13400213224357).

It is a super-2 number, since 2×13400213224300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25243212 + ... + 25768588.

It is an arithmetic number, because the mean of its divisors is an integer number (234094426720).

Almost surely, 2^{13400213224300} is an apocalyptic number.

13400213224300 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 13400213224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854798723840).

13400213224300 is an abundant number, since it is smaller than the sum of its proper divisors (20309384223380).

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

13400213224300 is a wasteful number, since it uses less digits than its factorization.

13400213224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525920 (or 525913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13400213224300 its reverse (342231200431), we get a palindrome (13742444424731).

The spelling of 13400213224300 in words is "thirteen trillion, four hundred billion, two hundred thirteen million, two hundred twenty-four thousand, three hundred".