13123130331311 has 128 divisors (see below), whose sum is σ = 19360722124800. Its totient is φ = 8556679296000.

The previous prime is 13123130331307. The next prime is 13123130331319. The reversal of 13123130331311 is 11313303132131.

It is not a de Polignac number, because 13123130331311 - 2² = 13123130331307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123130331319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52348376 + ... + 52598466.

It is an arithmetic number, because the mean of its divisors is an integer number (151255641600).

Almost surely, 2^{13123130331311} is an apocalyptic number.

13123130331311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123130331311 is a deficient number, since it is larger than the sum of its proper divisors (6237591793489).

13123130331311 is a wasteful number, since it uses less digits than its factorization.

13123130331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250261.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13123130331311 its reverse (11313303132131), we get a palindrome (24436433463442).

The spelling of 13123130331311 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirty million, three hundred thirty-one thousand, three hundred eleven".