1100013101133 has 32 divisors (see below), whose sum is σ = 1542683390976. Its totient is φ = 695859086208.

The previous prime is 1100013101107. The next prime is 1100013101141. The reversal of 1100013101133 is 3311013100011.

It is a de Polignac number, because none of the positive numbers 2^k-1100013101133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013101533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13979566 + ... + 14058032.

It is an arithmetic number, because the mean of its divisors is an integer number (48208855968).

Almost surely, 2^{1100013101133} is an apocalyptic number.

It is an amenable number.

1100013101133 is a deficient number, since it is larger than the sum of its proper divisors (442670289843).

1100013101133 is a wasteful number, since it uses less digits than its factorization.

1100013101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80113.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1100013101133 its reverse (3311013100011), we get a palindrome (4411026201144).

The spelling of 1100013101133 in words is "one trillion, one hundred billion, thirteen million, one hundred one thousand, one hundred thirty-three".