21013023431400 has 768 divisors, whose sum is σ = 89825110824960. Its totient is φ = 3921534259200.

The previous prime is 21013023431353. The next prime is 21013023431401. The reversal of 21013023431400 is 413432031012.

It is a happy number.

21013023431400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (21013023431401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21749407 + ... + 22694993.

It is an arithmetic number, because the mean of its divisors is an integer number (116959779720).

Almost surely, 2^{21013023431400} is an apocalyptic number.

21013023431400 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 21013023431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44912555412480).

21013023431400 is an abundant number, since it is smaller than the sum of its proper divisors (68812087393560).

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

21013023431400 is a wasteful number, since it uses less digits than its factorization.

21013023431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945674 (or 945665 counting only the distinct ones).

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

Adding to 21013023431400 its reverse (413432031012), we get a palindrome (21426455462412).

The spelling of 21013023431400 in words is "twenty-one trillion, thirteen billion, twenty-three million, four hundred thirty-one thousand, four hundred".