321213134402001 has 6 divisors (see below), whose sum is σ = 463974527469570. Its totient is φ = 214142089601328.

The previous prime is 321213134401903. The next prime is 321213134402057. The reversal of 321213134402001 is 100204431312123.

321213134402001 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 3 + 13 + 440 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243490308638976 + 77722825763025 = 15604176^2 + 8816055^2 .

It is not a de Polignac number, because 321213134402001 - 2¹¹ = 321213134399953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321213134402071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17845174133436 + ... + 17845174133453.

It is an arithmetic number, because the mean of its divisors is an integer number (77329087911595).

Almost surely, 2^{321213134402001} is an apocalyptic number.

It is an amenable number.

321213134402001 is a deficient number, since it is larger than the sum of its proper divisors (142761393067569).

321213134402001 is a wasteful number, since it uses less digits than its factorization.

321213134402001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35690348266895 (or 35690348266892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 321213134402001 its reverse (100204431312123), we get a palindrome (421417565714124).

The spelling of 321213134402001 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred thirty-four million, four hundred two thousand, one".