1011131223021 has 6 divisors (see below), whose sum is σ = 1460522877710. Its totient is φ = 674087482008.

The previous prime is 1011131223007. The next prime is 1011131223023. The reversal of 1011131223021 is 1203221311101.

1011131223021 is a `hidden beast` number, since 10 + 111 + 312 + 230 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 918434722500 + 92696500521 = 958350^2 + 304461^2 .

It is not a de Polignac number, because 1011131223021 - 2¹⁹ = 1011130698733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011131222985 and 1011131223003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011131223023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56173956826 + ... + 56173956843.

Almost surely, 2^{1011131223021} is an apocalyptic number.

It is an amenable number.

1011131223021 is a deficient number, since it is larger than the sum of its proper divisors (449391654689).

1011131223021 is a wasteful number, since it uses less digits than its factorization.

1011131223021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112347913675 (or 112347913672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011131223021 its reverse (1203221311101), we get a palindrome (2214352534122).

The spelling of 1011131223021 in words is "one trillion, eleven billion, one hundred thirty-one million, two hundred twenty-three thousand, twenty-one".