2013323430400 has 120 divisors (see below), whose sum is σ = 5048267140224. Its totient is φ = 795626188800.

The previous prime is 2013323430367. The next prime is 2013323430409. The reversal of 2013323430400 is 40343233102.

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

It is not an unprimeable number, because it can be changed into a prime (2013323430409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114865 + ... + 2009935.

Almost surely, 2^{2013323430400} is an apocalyptic number.

2013323430400 is a gapful number since it is divisible by the number (20) 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 2013323430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524133570112).

2013323430400 is an abundant number, since it is smaller than the sum of its proper divisors (3034943709824).

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

2013323430400 is an equidigital number, since it uses as much as digits as its factorization.

2013323430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895182 (or 1895161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 2013323430400 its reverse (40343233102), we get a palindrome (2053666663502).

The spelling of 2013323430400 in words is "two trillion, thirteen billion, three hundred twenty-three million, four hundred thirty thousand, four hundred".