211312133010 has 192 divisors, whose sum is σ = 628658993664. Its totient is φ = 48781785600.

The previous prime is 211312132991. The next prime is 211312133063. The reversal of 211312133010 is 10331213112.

211312133010 is a `hidden beast` number, since 2 + 11 + 312 + 1 + 330 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1660240 + ... + 1782980.

It is an arithmetic number, because the mean of its divisors is an integer number (3274265592).

Almost surely, 2^211312133010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211312133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314329496832).

211312133010 is an abundant number, since it is smaller than the sum of its proper divisors (417346860654).

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

211312133010 is a wasteful number, since it uses less digits than its factorization.

211312133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122849 (or 122846 counting only the distinct ones).

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

Adding to 211312133010 its reverse (10331213112), we get a palindrome (221643346122).

The spelling of 211312133010 in words is "two hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, ten".