1311101010312 has 64 divisors (see below), whose sum is σ = 3295873152000. Its totient is φ = 434619789120.

The previous prime is 1311101010311. The next prime is 1311101010337. The reversal of 1311101010312 is 2130101011131.

It is a super-2 number, since 2×1311101010312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311101010291 and 1311101010300.

It is not an unprimeable number, because it can be changed into a prime (1311101010311) 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 15 ways as a sum of consecutive naturals, for example, 9613237 + ... + 9748667.

It is an arithmetic number, because the mean of its divisors is an integer number (51498018000).

Almost surely, 2^{1311101010312} is an apocalyptic number.

1311101010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311101010312 is an abundant number, since it is smaller than the sum of its proper divisors (1984772141688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311101010312 is a wasteful number, since it uses less digits than its factorization.

1311101010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137666 (or 137662 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1311101010312 its reverse (2130101011131), we get a palindrome (3441202021443).

The spelling of 1311101010312 in words is "one trillion, three hundred eleven billion, one hundred one million, ten thousand, three hundred twelve".