13310142320400 has 120 divisors (see below), whose sum is σ = 42637903395360. Its totient is φ = 3549281310720.

The previous prime is 13310142320393. The next prime is 13310142320407. The reversal of 13310142320400 is 402324101331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13310142320393) and next prime (13310142320407).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13310142320407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56833944 + ... + 57067656.

It is an arithmetic number, because the mean of its divisors is an integer number (355315861628).

Almost surely, 2^{13310142320400} is an apocalyptic number.

13310142320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310142320400 is an abundant number, since it is smaller than the sum of its proper divisors (29327761074960).

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

13310142320400 is a wasteful number, since it uses less digits than its factorization.

13310142320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281193 (or 281182 counting only the distinct ones).

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

Adding to 13310142320400 its reverse (402324101331), we get a palindrome (13712466421731).

The spelling of 13310142320400 in words is "thirteen trillion, three hundred ten billion, one hundred forty-two million, three hundred twenty thousand, four hundred".