211332131010 has 384 divisors, whose sum is σ = 744544120320. Its totient is φ = 40161484800.

The previous prime is 211332131009. The next prime is 211332131033. The reversal of 211332131010 is 10131233112.

211332131010 is a `hidden beast` number, since 2 + 11 + 332 + 1 + 310 + 10 = 666.

It is a super-2 number, since 2×211332131010² (a number of 23 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9809050 + ... + 9830570.

It is an arithmetic number, because the mean of its divisors is an integer number (1938916980).

Almost surely, 2^211332131010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211332131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372272060160).

211332131010 is an abundant number, since it is smaller than the sum of its proper divisors (533211989310).

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

211332131010 is a wasteful number, since it uses less digits than its factorization.

211332131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21674 (or 21671 counting only the distinct ones).

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

Adding to 211332131010 its reverse (10131233112), we get a palindrome (221463364122).

It can be divided in two parts, 2113 and 32131010, that added together give a palindrome (32133123).

The spelling of 211332131010 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred thirty-one thousand, ten".