1011011001011 has 32 divisors (see below), whose sum is σ = 1133124443136. Its totient is φ = 894310560000.

The previous prime is 1011011000983. The next prime is 1011011001047. The reversal of 1011011001011 is 1101001101101.

It is not a de Polignac number, because 1011011001011 - 2³⁴ = 993831131827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011011001011.

It is not an unprimeable number, because it can be changed into a prime (1011011001211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32066591 + ... + 32098103.

It is an arithmetic number, because the mean of its divisors is an integer number (35410138848).

Almost surely, 2^{1011011001011} is an apocalyptic number.

1011011001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011011001011 is a deficient number, since it is larger than the sum of its proper divisors (122113442125).

1011011001011 is a wasteful number, since it uses less digits than its factorization.

1011011001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011011001011 its reverse (1101001101101), we get a palindrome (2112012102112).

The spelling of 1011011001011 in words is "one trillion, eleven billion, eleven million, one thousand, eleven".