1033132100133 has 16 divisors (see below), whose sum is σ = 1576890122240. Its totient is φ = 589388604336.

The previous prime is 1033132100107. The next prime is 1033132100197. The reversal of 1033132100133 is 3310012313301.

It is not a de Polignac number, because 1033132100133 - 2¹⁷ = 1033131969061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033132104133) 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 15 ways as a sum of consecutive naturals, for example, 40511773 + ... + 40537266.

It is an arithmetic number, because the mean of its divisors is an integer number (98555632640).

Almost surely, 2^{1033132100133} is an apocalyptic number.

It is an amenable number.

1033132100133 is a deficient number, since it is larger than the sum of its proper divisors (543758022107).

1033132100133 is an equidigital number, since it uses as much as digits as its factorization.

1033132100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81049656.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1033132100133 its reverse (3310012313301), we get a palindrome (4343144413434).

It can be divided in two parts, 1033132 and 100133, that added together give a triangular number (1133265 = T₁₅₀₅).

The spelling of 1033132100133 in words is "one trillion, thirty-three billion, one hundred thirty-two million, one hundred thousand, one hundred thirty-three".