1311021020011 has 16 divisors (see below), whose sum is σ = 1319713274880. Its totient is φ = 1302362893440.

The previous prime is 1311021019963. The next prime is 1311021020047. The reversal of 1311021020011 is 1100201201131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1311021020011 - 2¹¹ = 1311021017963 is a prime.

It is a super-2 number, since 2×1311021020011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311021019973 and 1311021020000.

It is not an unprimeable number, because it can be changed into a prime (1311021020711) 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 15 ways as a sum of consecutive naturals, for example, 141896130 + ... + 141905368.

It is an arithmetic number, because the mean of its divisors is an integer number (82482079680).

Almost surely, 2^{1311021020011} is an apocalyptic number.

1311021020011 is a deficient number, since it is larger than the sum of its proper divisors (8692254869).

1311021020011 is an equidigital number, since it uses as much as digits as its factorization.

1311021020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1311021020011 its reverse (1100201201131), we get a palindrome (2411222221142).

The spelling of 1311021020011 in words is "one trillion, three hundred eleven billion, twenty-one million, twenty thousand, eleven".