321013122131001 has 32 divisors (see below), whose sum is σ = 461068339072000. Its totient is φ = 198010444218048.

The previous prime is 321013122130879. The next prime is 321013122131011. The reversal of 321013122131001 is 100131221310123.

It is not a de Polignac number, because 321013122131001 - 2¹⁰ = 321013122129977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321013122131011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18175380 + ... + 31182858.

It is an arithmetic number, because the mean of its divisors is an integer number (14408385596000).

Almost surely, 2^{321013122131001} is an apocalyptic number.

It is an amenable number.

321013122131001 is a deficient number, since it is larger than the sum of its proper divisors (140055216940999).

321013122131001 is a wasteful number, since it uses less digits than its factorization.

321013122131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017613.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 321013122131001 its reverse (100131221310123), we get a palindrome (421144343441124).

The spelling of 321013122131001 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, one".