1001013121233 has 24 divisors (see below), whose sum is σ = 1463414752800. Its totient is φ = 659262917760.

The previous prime is 1001013121231. The next prime is 1001013121267. The reversal of 1001013121233 is 3321213101001.

It is not a de Polignac number, because 1001013121233 - 2¹ = 1001013121231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001013121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18357193 + ... + 18411641.

It is an arithmetic number, because the mean of its divisors is an integer number (60975614700).

Almost surely, 2^{1001013121233} is an apocalyptic number.

It is an amenable number.

1001013121233 is a deficient number, since it is larger than the sum of its proper divisors (462401631567).

1001013121233 is a wasteful number, since it uses less digits than its factorization.

1001013121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79149 (or 79146 counting only the distinct ones).

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

Adding to 1001013121233 its reverse (3321213101001), we get a palindrome (4322226222234).

The spelling of 1001013121233 in words is "one trillion, one billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-three".