1001312331331 has 8 divisors (see below), whose sum is σ = 1079006569760. Its totient is φ = 923713837632.

The previous prime is 1001312331329. The next prime is 1001312331337. The reversal of 1001312331331 is 1331332131001.

1001312331331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001312331331 - 2¹ = 1001312331329 is a prime.

It is a super-2 number, since 2×1001312331331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001312331337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23914455 + ... + 23956288.

It is an arithmetic number, because the mean of its divisors is an integer number (134875821220).

Almost surely, 2^{1001312331331} is an apocalyptic number.

1001312331331 is a deficient number, since it is larger than the sum of its proper divisors (77694238429).

1001312331331 is a wasteful number, since it uses less digits than its factorization.

1001312331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47872365.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1001312331331 its reverse (1331332131001), we get a palindrome (2332644462332).

The spelling of 1001312331331 in words is "one trillion, one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred thirty-one".