321034011144001 has 16 divisors (see below), whose sum is σ = 331410749978880. Its totient is φ = 310789645689600.

The previous prime is 321034011143987. The next prime is 321034011144017. The reversal of 321034011144001 is 100441110430123.

It is a cyclic number.

It is not a de Polignac number, because 321034011144001 - 2⁵ = 321034011143969 is a prime.

It is a super-2 number, since 2×321034011144001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321034011144101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496757640 + ... + 497403478.

It is an arithmetic number, because the mean of its divisors is an integer number (20713171873680).

Almost surely, 2^{321034011144001} is an apocalyptic number.

It is an amenable number.

321034011144001 is a deficient number, since it is larger than the sum of its proper divisors (10376738834879).

321034011144001 is a wasteful number, since it uses less digits than its factorization.

321034011144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748296.

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

Adding to 321034011144001 its reverse (100441110430123), we get a palindrome (421475121574124).

The spelling of 321034011144001 in words is "three hundred twenty-one trillion, thirty-four billion, eleven million, one hundred forty-four thousand, one".