1311101011012 has 36 divisors (see below), whose sum is σ = 2485389482436. Its totient is φ = 604906323840.

The previous prime is 1311101011001. The next prime is 1311101011019. The reversal of 1311101011012 is 2101101011131.

It can be written as a sum of positive squares in 6 ways, for example, as 56804048896 + 1254296962116 = 238336^2 + 1119954^2 .

It is a super-2 number, since 2×1311101011012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1311101010983 and 1311101011001.

It is not an unprimeable number, because it can be changed into a prime (1311101011019) 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 11 ways as a sum of consecutive naturals, for example, 1544062 + ... + 2237482.

Almost surely, 2^{1311101011012} is an apocalyptic number.

It is an amenable number.

1311101011012 is a deficient number, since it is larger than the sum of its proper divisors (1174288471424).

1311101011012 is a wasteful number, since it uses less digits than its factorization.

1311101011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696248 (or 696233 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1311101011012 its reverse (2101101011131), we get a palindrome (3412202022143).

The spelling of 1311101011012 in words is "one trillion, three hundred eleven billion, one hundred one million, eleven thousand, twelve".