321410220240213 has 40 divisors (see below), whose sum is σ = 517068646092768. Its totient is φ = 197789316807456.

The previous prime is 321410220240199. The next prime is 321410220240253. The reversal of 321410220240213 is 312042022014123.

321410220240213 is a `hidden beast` number, since 3 + 2 + 1 + 41 + 0 + 2 + 202 + 402 + 13 = 666.

It is not a de Polignac number, because 321410220240213 - 2⁶ = 321410220240149 is a prime.

It is a super-2 number, since 2×321410220240213² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321410220240253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137443770 + ... + 139762692.

Almost surely, 2^{321410220240213} is an apocalyptic number.

It is an amenable number.

321410220240213 is a deficient number, since it is larger than the sum of its proper divisors (195658425852555).

321410220240213 is a wasteful number, since it uses less digits than its factorization.

321410220240213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450575 (or 2450566 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321410220240213 its reverse (312042022014123), we get a palindrome (633452242254336).

The spelling of 321410220240213 in words is "three hundred twenty-one trillion, four hundred ten billion, two hundred twenty million, two hundred forty thousand, two hundred thirteen".