21513421400310 has 384 divisors, whose sum is σ = 66310338631680. Its totient is φ = 4736799295488.

The previous prime is 21513421400287. The next prime is 21513421400323. The reversal of 21513421400310 is 1300412431512.

21513421400310 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 342 + 1 + 4 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×21513421400310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 999265626 + ... + 999287154.

It is an arithmetic number, because the mean of its divisors is an integer number (172683173520).

Almost surely, 2^{21513421400310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21513421400310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33155169315840).

21513421400310 is an abundant number, since it is smaller than the sum of its proper divisors (44796917231370).

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

21513421400310 is a wasteful number, since it uses less digits than its factorization.

21513421400310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22012 (or 22009 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21513421400310 its reverse (1300412431512), we get a palindrome (22813833831822).

The spelling of 21513421400310 in words is "twenty-one trillion, five hundred thirteen billion, four hundred twenty-one million, four hundred thousand, three hundred ten".