1312122013121 has 8 divisors (see below), whose sum is σ = 1320852302088. Its totient is φ = 1303418880000.

The previous prime is 1312122013087. The next prime is 1312122013123. The reversal of 1312122013121 is 1213102212131.

It can be written as a sum of positive squares in 4 ways, for example, as 533776360000 + 778345653121 = 730600^2 + 882239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1312122013121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312122013093 and 1312122013102.

It is not an unprimeable number, because it can be changed into a prime (1312122013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6692000 + ... + 6885281.

It is an arithmetic number, because the mean of its divisors is an integer number (165106537761).

Almost surely, 2^{1312122013121} is an apocalyptic number.

It is an amenable number.

1312122013121 is a deficient number, since it is larger than the sum of its proper divisors (8730288967).

1312122013121 is a wasteful number, since it uses less digits than its factorization.

1312122013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13577923.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1312122013121 its reverse (1213102212131), we get a palindrome (2525224225252).

The spelling of 1312122013121 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, thirteen thousand, one hundred twenty-one".