13313240021400 has 96 divisors (see below), whose sum is σ = 45022957185600. Its totient is φ = 3227452124800.

The previous prime is 13313240021383. The next prime is 13313240021453. The reversal of 13313240021400 is 412004231331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1008572190 + ... + 1008585389.

It is an arithmetic number, because the mean of its divisors is an integer number (468989137350).

Almost surely, 2^{13313240021400} is an apocalyptic number.

13313240021400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313240021400 is an abundant number, since it is smaller than the sum of its proper divisors (31709717164200).

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

13313240021400 is a wasteful number, since it uses less digits than its factorization.

13313240021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017157609 (or 2017157600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13313240021400 its reverse (412004231331), we get a palindrome (13725244252731).

The spelling of 13313240021400 in words is "thirteen trillion, three hundred thirteen billion, two hundred forty million, twenty-one thousand, four hundred".