321311343124404 has 72 divisors (see below), whose sum is σ = 860000956181640. Its totient is φ = 100801144369152.

The previous prime is 321311343124357. The next prime is 321311343124451. The reversal of 321311343124404 is 404421343113123.

321311343124404 is a `hidden beast` number, since 3 + 2 + 13 + 113 + 4 + 3 + 124 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (321311343124357) and next prime (321311343124451).

It can be written as a sum of positive squares in 4 ways, for example, as 61257984255504 + 260053358868900 = 7826748^2 + 16126170^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19372332 + ... + 31904700.

It is an arithmetic number, because the mean of its divisors is an integer number (11944457724745).

Almost surely, 2^{321311343124404} is an apocalyptic number.

321311343124404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

321311343124404 is an abundant number, since it is smaller than the sum of its proper divisors (538689613057236).

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

321311343124404 is a wasteful number, since it uses less digits than its factorization.

321311343124404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574289 (or 12574284 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 321311343124404 its reverse (404421343113123), we get a palindrome (725732686237527).

The spelling of 321311343124404 in words is "three hundred twenty-one trillion, three hundred eleven billion, three hundred forty-three million, one hundred twenty-four thousand, four hundred four".