11046146133113 has 48 divisors (see below), whose sum is σ = 14350212954000. Its totient is φ = 8417797613568.

The previous prime is 11046146133091. The next prime is 11046146133151. The reversal of 11046146133113 is 31133164164011.

It can be written as a sum of positive squares in 8 ways, for example, as 141938302009 + 10904207831104 = 376747^2 + 3302152^2 .

It is not a de Polignac number, because 11046146133113 - 2⁶ = 11046146133049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11046146133013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6824453 + ... + 8286461.

It is an arithmetic number, because the mean of its divisors is an integer number (298962769875).

Almost surely, 2^{11046146133113} is an apocalyptic number.

11046146133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11046146133113 is a deficient number, since it is larger than the sum of its proper divisors (3304066820887).

11046146133113 is a wasteful number, since it uses less digits than its factorization.

11046146133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462474 (or 1462467 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 11046146133113 in words is "eleven trillion, forty-six billion, one hundred forty-six million, one hundred thirty-three thousand, one hundred thirteen".