1111011001101 has 6 divisors (see below), whose sum is σ = 1604793668270. Its totient is φ = 740674000728.

The previous prime is 1111011001069. The next prime is 1111011001103. The reversal of 1111011001101 is 1011001101111.

It can be written as a sum of positive squares in only one way, i.e., 701865275076 + 409145726025 = 837774^2 + 639645^2 .

It is not a de Polignac number, because 1111011001101 - 2⁵ = 1111011001069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 123445666789 = 1111011001101 / (1 + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111011001103) 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 5 ways as a sum of consecutive naturals, for example, 61722833386 + ... + 61722833403.

Almost surely, 2^{1111011001101} is an apocalyptic number.

It is an amenable number.

1111011001101 is a deficient number, since it is larger than the sum of its proper divisors (493782667169).

1111011001101 is a wasteful number, since it uses less digits than its factorization.

1111011001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123445666795 (or 123445666792 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1111011001101 its reverse (1011001101111), we get a palindrome (2122012102212).

It can be divided in two parts, 111 and 1011001101, that multiplied together give a palindrome (112221122211).

The spelling of 1111011001101 in words is "one trillion, one hundred eleven billion, eleven million, one thousand, one hundred one".