21313102011102 has 96 divisors (see below), whose sum is σ = 53377880774400. Its totient is φ = 6074256764160.

The previous prime is 21313102011007. The next prime is 21313102011107. The reversal of 21313102011102 is 20111020131312.

21313102011102 is a `hidden beast` number, since 21 + 31 + 310 + 201 + 1 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313102011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446033 + ... + 6972035.

It is an arithmetic number, because the mean of its divisors is an integer number (556019591400).

Almost surely, 2^{21313102011102} is an apocalyptic number.

21313102011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313102011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688940387200).

21313102011102 is an abundant number, since it is smaller than the sum of its proper divisors (32064778763298).

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

21313102011102 is a wasteful number, since it uses less digits than its factorization.

21313102011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527438 (or 4527435 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21313102011102 its reverse (20111020131312), we get a palindrome (41424122142414).

The spelling of 21313102011102 in words is "twenty-one trillion, three hundred thirteen billion, one hundred two million, eleven thousand, one hundred two".