111011001001011 has 128 divisors (see below), whose sum is σ = 172439114112000. Its totient is φ = 70492723918848.

The previous prime is 111011001000983. The next prime is 111011001001013. The reversal of 111011001001011 is 110100100110111.

It is not a de Polignac number, because 111011001001011 - 2⁷ = 111011001000883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111011001000984 and 111011001001002.

It is not an unprimeable number, because it can be changed into a prime (111011001001013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41008864920 + ... + 41008867626.

It is an arithmetic number, because the mean of its divisors is an integer number (1347180579000).

Almost surely, 2^{111011001001011} is an apocalyptic number.

111011001001011 is a deficient number, since it is larger than the sum of its proper divisors (61428113110989).

111011001001011 is a wasteful number, since it uses less digits than its factorization.

111011001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4844 counting only the distinct ones).

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

Adding to 111011001001011 its reverse (110100100110111), we get a palindrome (221111101111122).

The spelling of 111011001001011 in words is "one hundred eleven trillion, eleven billion, one million, one thousand, eleven".