1313122133123 has 16 divisors (see below), whose sum is σ = 1476968724000. Its totient is φ = 1160091735552.

The previous prime is 1313122133039. The next prime is 1313122133131. The reversal of 1313122133123 is 3213312213131.

It is a cyclic number.

It is not a de Polignac number, because 1313122133123 - 2²⁸ = 1312853697667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313122133092 and 1313122133101.

It is not an unprimeable number, because it can be changed into a prime (1313122133923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18613388 + ... + 18683801.

It is an arithmetic number, because the mean of its divisors is an integer number (92310545250).

Almost surely, 2^{1313122133123} is an apocalyptic number.

1313122133123 is a deficient number, since it is larger than the sum of its proper divisors (163846590877).

1313122133123 is a wasteful number, since it uses less digits than its factorization.

1313122133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297334.

The product of its digits is 1944, while the sum is 26.

Adding to 1313122133123 its reverse (3213312213131), we get a palindrome (4526434346254).

The spelling of 1313122133123 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-three".