211001313320 has 256 divisors, whose sum is σ = 610625433600. Its totient is φ = 63875174400.

The previous prime is 211001313317. The next prime is 211001313323. The reversal of 211001313320 is 23313100112.

It is an interprime number because it is at equal distance from previous prime (211001313317) and next prime (211001313323).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (211001313323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9303995 + ... + 9326645.

It is an arithmetic number, because the mean of its divisors is an integer number (2385255600).

Almost surely, 2^211001313320 is an apocalyptic number.

211001313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305312716800).

211001313320 is an abundant number, since it is smaller than the sum of its proper divisors (399624120280).

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

211001313320 is a wasteful number, since it uses less digits than its factorization.

211001313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22808 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 211001313320 its reverse (23313100112), we get a palindrome (234314413432).

The spelling of 211001313320 in words is "two hundred eleven billion, one million, three hundred thirteen thousand, three hundred twenty".