21310313300100 has 432 divisors, whose sum is σ = 73185055856640. Its totient is φ = 5143732070400.

The previous prime is 21310313300069. The next prime is 21310313300117. The reversal of 21310313300100 is 100331301312.

It is a happy number.

21310313300100 is a `hidden beast` number, since 2 + 1 + 310 + 313 + 30 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2339474346 + ... + 2339483454.

It is an arithmetic number, because the mean of its divisors is an integer number (169409851520).

Almost surely, 2^{21310313300100} is an apocalyptic number.

21310313300100 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 21310313300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36592527928320).

21310313300100 is an abundant number, since it is smaller than the sum of its proper divisors (51874742556540).

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

21310313300100 is a wasteful number, since it uses less digits than its factorization.

21310313300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21310313300100 its reverse (100331301312), we get a palindrome (21410644601412).

The spelling of 21310313300100 in words is "twenty-one trillion, three hundred ten billion, three hundred thirteen million, three hundred thousand, one hundred".