1001312101233 has 112 divisors (see below), whose sum is σ = 1605257796480. Its totient is φ = 622494243072.

The previous prime is 1001312101213. The next prime is 1001312101241. The reversal of 1001312101233 is 3321012131001.

It is not a de Polignac number, because 1001312101233 - 2⁶ = 1001312101169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001312101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 246808941 + ... + 246812997.

Almost surely, 2^{1001312101233} is an apocalyptic number.

It is an amenable number.

1001312101233 is a deficient number, since it is larger than the sum of its proper divisors (603945695247).

1001312101233 is a wasteful number, since it uses less digits than its factorization.

1001312101233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4355 counting only the distinct ones).

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

Adding to 1001312101233 its reverse (3321012131001), we get a palindrome (4322324232234).

The spelling of 1001312101233 in words is "one trillion, one billion, three hundred twelve million, one hundred one thousand, two hundred thirty-three".