1001131133033 has 32 divisors (see below), whose sum is σ = 1110457216512. Its totient is φ = 898577971200.

The previous prime is 1001131133029. The next prime is 1001131133047. The reversal of 1001131133033 is 3303311311001.

It is a cyclic number.

It is not a de Polignac number, because 1001131133033 - 2² = 1001131133029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001131132996 and 1001131133014.

It is not an unprimeable number, because it can be changed into a prime (1001131133063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9961010 + ... + 10061012.

It is an arithmetic number, because the mean of its divisors is an integer number (34701788016).

Almost surely, 2^{1001131133033} is an apocalyptic number.

It is an amenable number.

1001131133033 is a deficient number, since it is larger than the sum of its proper divisors (109326083479).

1001131133033 is a wasteful number, since it uses less digits than its factorization.

1001131133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100385.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1001131133033 its reverse (3303311311001), we get a palindrome (4304442444034).

The spelling of 1001131133033 in words is "one trillion, one billion, one hundred thirty-one million, one hundred thirty-three thousand, thirty-three".