211300013132032 has 144 divisors (see below), whose sum is σ = 485065841025024. Its totient is φ = 90969617664000.

The previous prime is 211300013132027. The next prime is 211300013132051. The reversal of 211300013132032 is 230231310003112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211300013131994 and 211300013132012.

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 15 ways as a sum of consecutive naturals, for example, 21647094 + ... + 29852917.

It is an arithmetic number, because the mean of its divisors is an integer number (3368512784896).

Almost surely, 2^{211300013132032} is an apocalyptic number.

211300013132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211300013132032 is an abundant number, since it is smaller than the sum of its proper divisors (273765827892992).

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

211300013132032 is a wasteful number, since it uses less digits than its factorization.

211300013132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51500116 (or 51500102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211300013132032 its reverse (230231310003112), we get a palindrome (441531323135144).

The spelling of 211300013132032 in words is "two hundred eleven trillion, three hundred billion, thirteen million, one hundred thirty-two thousand, thirty-two".