211301313321 has 8 divisors (see below), whose sum is σ = 321982953664. Its totient is φ = 120743607600.

The previous prime is 211301313299. The next prime is 211301313343. The reversal of 211301313321 is 123313103112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211301313299) and next prime (211301313343).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211301313321 - 2¹⁰ = 211301312297 is a prime.

It is a super-2 number, since 2×211301313321² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10061967301 = 211301313321 / (2 + 1 + 1 + 3 + 0 + 1 + 3 + 1 + 3 + 3 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211301317321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5030983630 + ... + 5030983671.

It is an arithmetic number, because the mean of its divisors is an integer number (40247869208).

Almost surely, 2^211301313321 is an apocalyptic number.

211301313321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211301313321 is a deficient number, since it is larger than the sum of its proper divisors (110681640343).

211301313321 is a wasteful number, since it uses less digits than its factorization.

211301313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061967311.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211301313321 its reverse (123313103112), we get a palindrome (334614416433).

The spelling of 211301313321 in words is "two hundred eleven billion, three hundred one million, three hundred thirteen thousand, three hundred twenty-one".