21351312414300 has 144 divisors (see below), whose sum is σ = 67400301854592. Its totient is φ = 5175476985600.

The previous prime is 21351312414287. The next prime is 21351312414301. The reversal of 21351312414300 is 341421315312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21351312414301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28495254 + ... + 29234946.

It is an arithmetic number, because the mean of its divisors is an integer number (468057651768).

Almost surely, 2^{21351312414300} is an apocalyptic number.

21351312414300 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 21351312414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700150927296).

21351312414300 is an abundant number, since it is smaller than the sum of its proper divisors (46048989440292).

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

21351312414300 is a wasteful number, since it uses less digits than its factorization.

21351312414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748468 (or 748461 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 21351312414300 its reverse (341421315312), we get a palindrome (21692733729612).

The spelling of 21351312414300 in words is "twenty-one trillion, three hundred fifty-one billion, three hundred twelve million, four hundred fourteen thousand, three hundred".