213343401042100 has 216 divisors, whose sum is σ = 538511793039360. Its totient is φ = 71866035521280.

The previous prime is 213343401041929. The next prime is 213343401042181. The reversal of 213343401042100 is 1240104343312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203412266 + ... + 1203589534.

It is an arithmetic number, because the mean of its divisors is an integer number (2493110152960).

Almost surely, 2^{213343401042100} is an apocalyptic number.

213343401042100 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 213343401042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269255896519680).

213343401042100 is an abundant number, since it is smaller than the sum of its proper divisors (325168391997260).

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

213343401042100 is a wasteful number, since it uses less digits than its factorization.

213343401042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177807 (or 177733 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213343401042100 its reverse (1240104343312), we get a palindrome (214583505385412).

The spelling of 213343401042100 in words is "two hundred thirteen trillion, three hundred forty-three billion, four hundred one million, forty-two thousand, one hundred".