33133113101 has 12 divisors (see below), whose sum is σ = 38561340636. Its totient is φ = 28349185920.

The previous prime is 33133113071. The next prime is 33133113103. The reversal of 33133113101 is 10131133133.

It can be written as a sum of positive squares in 2 ways, for example, as 16256505001 + 16876608100 = 127501^2 + 129910^2 .

It is not a de Polignac number, because 33133113101 - 2¹⁸ = 33132850957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133113103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8051690 + ... + 8055803.

It is an arithmetic number, because the mean of its divisors is an integer number (3213445053).

Almost surely, 2^33133113101 is an apocalyptic number.

It is an amenable number.

33133113101 is a deficient number, since it is larger than the sum of its proper divisors (5428227535).

33133113101 is a wasteful number, since it uses less digits than its factorization.

33133113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16107532 (or 16107521 counting only the distinct ones).

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

Adding to 33133113101 its reverse (10131133133), we get a palindrome (43264246234).

The spelling of 33133113101 in words is "thirty-three billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred one".