10041012011133 has 12 divisors (see below), whose sum is σ = 14504310204540. Its totient is φ = 6693718997376.

The previous prime is 10041012011119. The next prime is 10041012011161. The reversal of 10041012011133 is 33111021014001.

It is a happy number.

10041012011133 is a `hidden beast` number, since 1 + 0 + 0 + 410 + 120 + 1 + 1 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229821483609 + 9811190527524 = 479397^2 + 3132282^2 .

It is not a de Polignac number, because 10041012011133 - 2¹⁶ = 10041011945597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041012011033) 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, 23864028 + ... + 24281141.

It is an arithmetic number, because the mean of its divisors is an integer number (1208692517045).

Almost surely, 2^{10041012011133} is an apocalyptic number.

It is an amenable number.

10041012011133 is a deficient number, since it is larger than the sum of its proper divisors (4463298193407).

10041012011133 is a wasteful number, since it uses less digits than its factorization.

10041012011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48168348 (or 48168345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10041012011133 its reverse (33111021014001), we get a palindrome (43152033025134).

The spelling of 10041012011133 in words is "ten trillion, forty-one billion, twelve million, eleven thousand, one hundred thirty-three".