11630828133 has 6 divisors (see below), whose sum is σ = 16800085094. Its totient is φ = 7753885416.

The previous prime is 11630828129. The next prime is 11630828147. The reversal of 11630828133 is 33182803611.

11630828133 is a `hidden beast` number, since 1 + 1 + 630 + 8 + 2 + 8 + 13 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7253417889 + 4377410244 = 85167^2 + 66162^2 .

It is not a de Polignac number, because 11630828133 - 2² = 11630828129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630728133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 646157110 + ... + 646157127.

Almost surely, 2^11630828133 is an apocalyptic number.

It is an amenable number.

11630828133 is a deficient number, since it is larger than the sum of its proper divisors (5169256961).

11630828133 is a wasteful number, since it uses less digits than its factorization.

11630828133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292314243 (or 1292314240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1163082813 and 3, that added together give a square (1163082816 = 34104²).

The spelling of 11630828133 in words is "eleven billion, six hundred thirty million, eight hundred twenty-eight thousand, one hundred thirty-three".