211332113001000 has 96 divisors (see below), whose sum is σ = 714302541973800. Its totient is φ = 56355230131200.

The previous prime is 211332113000963. The next prime is 211332113001029. The reversal of 211332113001000 is 100311233112.

211332113001000 is a `hidden beast` number, since 2 + 11 + 332 + 11 + 300 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24611858349156 + 186720254651844 = 4961034^2 + 13664562^2 .

It is a super-2 number, since 2×211332113001000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11740663945 + ... + 11740681944.

Almost surely, 2^{211332113001000} is an apocalyptic number.

211332113001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332113001000 is an abundant number, since it is smaller than the sum of its proper divisors (502970428972800).

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

211332113001000 is a wasteful number, since it uses less digits than its factorization.

211332113001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23481345916 (or 23481345899 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211332113001000 its reverse (100311233112), we get a palindrome (211432424234112).

The spelling of 211332113001000 in words is "two hundred eleven trillion, three hundred thirty-two billion, one hundred thirteen million, one thousand".