321013001312032 has 24 divisors (see below), whose sum is σ = 632023315684236. Its totient is φ = 160499143360512.

The previous prime is 321013001312011. The next prime is 321013001312083. The reversal of 321013001312032 is 230213100310123.

It can be written as a sum of positive squares in 2 ways, for example, as 286378316816656 + 34634684495376 = 16922716^2 + 5885124^2 .

It is a super-2 number, since 2×321013001312032² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321013001311994 and 321013001312012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229206433 + ... + 230602720.

Almost surely, 2^{321013001312032} is an apocalyptic number.

321013001312032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321013001312032 is a deficient number, since it is larger than the sum of its proper divisors (311010314372204).

321013001312032 is a wasteful number, since it uses less digits than its factorization.

321013001312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459830980 (or 459830972 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 321013001312032 its reverse (230213100310123), we get a palindrome (551226101622155).

The spelling of 321013001312032 in words is "three hundred twenty-one trillion, thirteen billion, one million, three hundred twelve thousand, thirty-two".