13352531210400 has 72 divisors (see below), whose sum is σ = 43462489097664. Its totient is φ = 3560674988800.

The previous prime is 13352531210383. The next prime is 13352531210437. The reversal of 13352531210400 is 401213525331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781774936 + ... + 2781779735.

It is an arithmetic number, because the mean of its divisors is an integer number (603645681912).

Almost surely, 2^{13352531210400} is an apocalyptic number.

13352531210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13352531210400 is an abundant number, since it is smaller than the sum of its proper divisors (30109957887264).

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

13352531210400 is a wasteful number, since it uses less digits than its factorization.

13352531210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563554694 (or 5563554681 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13352531210400 its reverse (401213525331), we get a palindrome (13753744735731).

The spelling of 13352531210400 in words is "thirteen trillion, three hundred fifty-two billion, five hundred thirty-one million, two hundred ten thousand, four hundred".