21354113000 has 128 divisors (see below), whose sum is σ = 54595607040. Its totient is φ = 7753120000.

The previous prime is 21354112951. The next prime is 21354113003. The reversal of 21354113000 is 31145312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21354113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10349969 + ... + 10352031.

It is an arithmetic number, because the mean of its divisors is an integer number (426528180).

Almost surely, 2^21354113000 is an apocalyptic number.

21354113000 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 21354113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27297803520).

21354113000 is an abundant number, since it is smaller than the sum of its proper divisors (33241494040).

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

21354113000 is a wasteful number, since it uses less digits than its factorization.

21354113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 21354113000 its reverse (31145312), we get a palindrome (21385258312).

The spelling of 21354113000 in words is "twenty-one billion, three hundred fifty-four million, one hundred thirteen thousand".