213442131002100 has 1152 divisors, whose sum is σ = 852053057114112. Its totient is φ = 39811361587200.

The previous prime is 213442131002081. The next prime is 213442131002117. The reversal of 213442131002100 is 1200131244312.

213442131002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25522192519 + ... + 25522200881.

It is an arithmetic number, because the mean of its divisors is an integer number (739629389856).

Almost surely, 2^{213442131002100} is an apocalyptic number.

213442131002100 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 213442131002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426026528557056).

213442131002100 is an abundant number, since it is smaller than the sum of its proper divisors (638610926112012).

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

213442131002100 is a wasteful number, since it uses less digits than its factorization.

213442131002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213442131002100 its reverse (1200131244312), we get a palindrome (214642262246412).

The spelling of 213442131002100 in words is "two hundred thirteen trillion, four hundred forty-two billion, one hundred thirty-one million, two thousand, one hundred".