13128095426941 has 48 divisors (see below), whose sum is σ = 14788147374000. Its totient is φ = 11643160320000.

The previous prime is 13128095426933. The next prime is 13128095426983. The reversal of 13128095426941 is 14962459082131.

It can be written as a sum of positive squares in 8 ways, for example, as 1455992156025 + 11672103270916 = 1206645^2 + 3416446^2 .

It is not a de Polignac number, because 13128095426941 - 2³ = 13128095426933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128095426921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241080885 + ... + 241135333.

It is an arithmetic number, because the mean of its divisors is an integer number (308086403625).

Almost surely, 2^{13128095426941} is an apocalyptic number.

13128095426941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13128095426941 is a deficient number, since it is larger than the sum of its proper divisors (1660051947059).

13128095426941 is a wasteful number, since it uses less digits than its factorization.

13128095426941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54862 (or 54851 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 13128095426941 in words is "thirteen trillion, one hundred twenty-eight billion, ninety-five million, four hundred twenty-six thousand, nine hundred forty-one".