13146211264131 has 48 divisors (see below), whose sum is σ = 21385223129088. Its totient is φ = 7709757724800.

The previous prime is 13146211264129. The next prime is 13146211264163.

13146211264131 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 2 + 1 + 1 + 2 + 641 + 3 + 1 = 666.

13146211264131 is nontrivially palindromic in base 10.

13146211264131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13146211264131 - 2¹ = 13146211264129 is a prime.

It is a super-2 number, since 2×13146211264131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13146211264231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38798410 + ... + 39135776.

It is an arithmetic number, because the mean of its divisors is an integer number (445525481856).

Almost surely, 2^{13146211264131} is an apocalyptic number.

13146211264131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13146211264131 is a deficient number, since it is larger than the sum of its proper divisors (8239011864957).

13146211264131 is a wasteful number, since it uses less digits than its factorization.

13146211264131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350112 (or 350109 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

It can be divided in two parts, 1314621 and 1264131, that added together give a palindrome (2578752).

The spelling of 13146211264131 in words is "thirteen trillion, one hundred forty-six billion, two hundred eleven million, two hundred sixty-four thousand, one hundred thirty-one".