211313000 has 32 divisors (see below), whose sum is σ = 494474760. Its totient is φ = 84524800.

The previous prime is 211312939. The next prime is 211313017. The reversal of 211313000 is 313112.

It can be written as a sum of positive squares in 4 ways, for example, as 95922436 + 115390564 = 9794^2 + 10742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104657 + ... + 106656.

Almost surely, 2^211313000 is an apocalyptic number.

211313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313000 is an abundant number, since it is smaller than the sum of its proper divisors (283161760).

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

211313000 is a wasteful number, since it uses less digits than its factorization.

211313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211334 (or 211320 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 211313000 is about 14536.6089580755. The cubic root of 211313000 is about 595.6284112272.

Adding to 211313000 its reverse (313112), we get a palindrome (211626112).

The spelling of 211313000 in words is "two hundred eleven million, three hundred thirteen thousand".