41213060100 has 243 divisors, whose sum is σ = 132448124991. Its totient is φ = 10718928000.

The previous prime is 41213060089. The next prime is 41213060107. The reversal of 41213060100 is 106031214.

It is a happy number.

The square root of 41213060100 is 203010.

It is a perfect power (a square), and thus also a powerful number.

41213060100 is a `hidden beast` number, since 41 + 21 + 3 + 0 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7609770756 + 33603289344 = 87234^2 + 183312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41213060107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 408050050 + ... + 408050150.

Almost surely, 2^41213060100 is an apocalyptic number.

41213060100 is the 203010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41213060100

41213060100 is an abundant number, since it is smaller than the sum of its proper divisors (91235064891).

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

41213060100 is a wasteful number, since it uses less digits than its factorization.

41213060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 41213060100 by its product of nonzero digits (144), we get a square (5934680654400 = 2436120²).

Adding to 41213060100 its reverse (106031214), we get a palindrome (41319091314).

The spelling of 41213060100 in words is "forty-one billion, two hundred thirteen million, sixty thousand, one hundred".