1133010103311 has 12 divisors (see below), whose sum is σ = 1654958579040. Its totient is φ = 746853101280.

The previous prime is 1133010103229. The next prime is 1133010103333.

1133010103311 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 0 + 1 + 0 + 331 + 1 = 666.

1133010103311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1133010103311 - 2⁹ = 1133010102799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133010107311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707246455 + ... + 707248056.

It is an arithmetic number, because the mean of its divisors is an integer number (137913214920).

Almost surely, 2^{1133010103311} is an apocalyptic number.

1133010103311 is a deficient number, since it is larger than the sum of its proper divisors (521948475729).

1133010103311 is a wasteful number, since it uses less digits than its factorization.

1133010103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414494606 (or 1414494603 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1133010 and 103311, that added together give a palindrome (1236321).

The spelling of 1133010103311 in words is "one trillion, one hundred thirty-three billion, ten million, one hundred three thousand, three hundred eleven".