1001231310321 has 16 divisors (see below), whose sum is σ = 1618151613120. Its totient is φ = 606806854560.

The previous prime is 1001231310281. The next prime is 1001231310377. The reversal of 1001231310321 is 1230131321001.

1001231310321 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 31 + 310 + 321 = 666.

It is not a de Polignac number, because 1001231310321 - 2¹⁰ = 1001231309297 is a prime.

It is a super-2 number, since 2×1001231310321² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001231310294 and 1001231310303.

It is not an unprimeable number, because it can be changed into a prime (1001231317321) 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, 1685574300 + ... + 1685574893.

It is an arithmetic number, because the mean of its divisors is an integer number (101134475820).

Almost surely, 2^{1001231310321} is an apocalyptic number.

1001231310321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001231310321 is a deficient number, since it is larger than the sum of its proper divisors (616920302799).

1001231310321 is a wasteful number, since it uses less digits than its factorization.

1001231310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371149213 (or 3371149207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001231310321 its reverse (1230131321001), we get a palindrome (2231362631322).

The spelling of 1001231310321 in words is "one trillion, one billion, two hundred thirty-one million, three hundred ten thousand, three hundred twenty-one".