1013122111311 has 12 divisors (see below), whose sum is σ = 1471483682760. Its totient is φ = 671683166640.

The previous prime is 1013122111297. The next prime is 1013122111367. The reversal of 1013122111311 is 1131112213101.

1013122111311 is a `hidden beast` number, since 1 + 0 + 131 + 221 + 1 + 1 + 311 = 666.

It is not a de Polignac number, because 1013122111311 - 2³⁰ = 1012048369487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013122111411) 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 11 ways as a sum of consecutive naturals, for example, 310962801 + ... + 310966058.

It is an arithmetic number, because the mean of its divisors is an integer number (122623640230).

Almost surely, 2^{1013122111311} is an apocalyptic number.

1013122111311 is a deficient number, since it is larger than the sum of its proper divisors (458361571449).

1013122111311 is a wasteful number, since it uses less digits than its factorization.

1013122111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621929046 (or 621929043 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1013122111311 its reverse (1131112213101), we get a palindrome (2144234324412).

The spelling of 1013122111311 in words is "one trillion, thirteen billion, one hundred twenty-two million, one hundred eleven thousand, three hundred eleven".