13125333314511 has 80 divisors (see below), whose sum is σ = 21796065659808. Its totient is φ = 7803562291200.

The previous prime is 13125333314479. The next prime is 13125333314543. The reversal of 13125333314511 is 11541333352131.

13125333314511 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 333 + 314 + 5 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13125333314479) and next prime (13125333314543).

It is not a de Polignac number, because 13125333314511 - 2⁵ = 13125333314479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125333314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 442795251 + ... + 442824891.

Almost surely, 2^{13125333314511} is an apocalyptic number.

13125333314511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13125333314511 is a deficient number, since it is larger than the sum of its proper divisors (8670732345297).

13125333314511 is a wasteful number, since it uses less digits than its factorization.

13125333314511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39094 (or 39085 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 13125333314511 its reverse (11541333352131), we get a palindrome (24666666666642).

The spelling of 13125333314511 in words is "thirteen trillion, one hundred twenty-five billion, three hundred thirty-three million, three hundred fourteen thousand, five hundred eleven".