1011300111133 has 8 divisors (see below), whose sum is σ = 1101329422200. Its totient is φ = 923018942208.

The previous prime is 1011300111131. The next prime is 1011300111181. The reversal of 1011300111133 is 3311110031101.

It can be written as a sum of positive squares in 4 ways, for example, as 8504159524 + 1002795951609 = 92218^2 + 1001397^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011300111133 - 2¹ = 1011300111131 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 (1011300111131) 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 7 ways as a sum of consecutive naturals, for example, 437034328 + ... + 437036641.

It is an arithmetic number, because the mean of its divisors is an integer number (137666177775).

Almost surely, 2^{1011300111133} is an apocalyptic number.

1011300111133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011300111133 is a deficient number, since it is larger than the sum of its proper divisors (90029311067).

1011300111133 is an equidigital number, since it uses as much as digits as its factorization.

1011300111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874071071.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1011300111133 its reverse (3311110031101), we get a palindrome (4322410142234).

The spelling of 1011300111133 in words is "one trillion, eleven billion, three hundred million, one hundred eleven thousand, one hundred thirty-three".