213034440024100 has 36 divisors (see below), whose sum is σ = 465229223643604. Its totient is φ = 84671013098880.

The previous prime is 213034440024061. The next prime is 213034440024101. The reversal of 213034440024100 is 1420044430312.

It can be written as a sum of positive squares in 6 ways, for example, as 19489805655076 + 193544634369024 = 4414726^2 + 13912032^2 .

It is not an unprimeable number, because it can be changed into a prime (213034440024101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6784520607 + ... + 6784552006.

Almost surely, 2^{213034440024100} is an apocalyptic number.

213034440024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213034440024100 is an abundant number, since it is smaller than the sum of its proper divisors (252194783619504).

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

213034440024100 is a wasteful number, since it uses less digits than its factorization.

213034440024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569072784 (or 13569072777 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213034440024100 its reverse (1420044430312), we get a palindrome (214454484454412).

The spelling of 213034440024100 in words is "two hundred thirteen trillion, thirty-four billion, four hundred forty million, twenty-four thousand, one hundred".