321214412000131 has 8 divisors (see below), whose sum is σ = 345923531271360. Its totient is φ = 296505338207232.

The previous prime is 321214412000093. The next prime is 321214412000147. The reversal of 321214412000131 is 131000214412123.

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

It is a cyclic number.

It is not a de Polignac number, because 321214412000131 - 2⁷ = 321214412000003 is a prime.

It is a super-2 number, since 2×321214412000131² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321214412000096 and 321214412000105.

It is not an unprimeable number, because it can be changed into a prime (321214412000831) 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, 4077030 + ... + 25671988.

It is an arithmetic number, because the mean of its divisors is an integer number (43240441408920).

Almost surely, 2^{321214412000131} is an apocalyptic number.

321214412000131 is a deficient number, since it is larger than the sum of its proper divisors (24709119271229).

321214412000131 is a wasteful number, since it uses less digits than its factorization.

321214412000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22739165.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 321214412000131 its reverse (131000214412123), we get a palindrome (452214626412254).

The spelling of 321214412000131 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twelve million, one hundred thirty-one", and thus it is an aban number.