1311012031122 has 48 divisors (see below), whose sum is σ = 2943907438680. Its totient is φ = 421154899200.

The previous prime is 1311012031097. The next prime is 1311012031129. The reversal of 1311012031122 is 2211302101131.

1311012031122 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 20 + 311 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1256414568201 + 54597462921 = 1120899^2 + 233661^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311012031095 and 1311012031104.

It is not an unprimeable number, because it can be changed into a prime (1311012031129) 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 23 ways as a sum of consecutive naturals, for example, 2038779 + ... + 2603582.

Almost surely, 2^{1311012031122} is an apocalyptic number.

1311012031122 is an abundant number, since it is smaller than the sum of its proper divisors (1632895407558).

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

1311012031122 is a wasteful number, since it uses less digits than its factorization.

1311012031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642939 (or 4642936 counting only the distinct ones).

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

Adding to 1311012031122 its reverse (2211302101131), we get a palindrome (3522314132253).

The spelling of 1311012031122 in words is "one trillion, three hundred eleven billion, twelve million, thirty-one thousand, one hundred twenty-two".