1312122122311 has 64 divisors (see below), whose sum is σ = 1871787294720. Its totient is φ = 885753740160.

The previous prime is 1312122122287. The next prime is 1312122122371. The reversal of 1312122122311 is 1132212212131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1312122122311 - 2¹⁵ = 1312122089543 is a prime.

It is a super-4 number, since 4×1312122122311⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312122122371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712650 + ... + 2357416.

It is an arithmetic number, because the mean of its divisors is an integer number (29246676480).

Almost surely, 2^{1312122122311} is an apocalyptic number.

1312122122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312122122311 is a deficient number, since it is larger than the sum of its proper divisors (559665172409).

1312122122311 is a wasteful number, since it uses less digits than its factorization.

1312122122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644924.

The product of its digits is 288, while the sum is 22.

Adding to 1312122122311 its reverse (1132212212131), we get a palindrome (2444334334442).

The spelling of 1312122122311 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred eleven".