131034541311 has 48 divisors (see below), whose sum is σ = 199487901600. Its totient is φ = 82760235264.

The previous prime is 131034541289. The next prime is 131034541321. The reversal of 131034541311 is 113145430131.

131034541311 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 345 + 4 + 1 + 311 = 666.

It is not a de Polignac number, because 131034541311 - 2⁹ = 131034540799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034541321) 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, 8569605 + ... + 8584881.

It is an arithmetic number, because the mean of its divisors is an integer number (4155997950).

Almost surely, 2^131034541311 is an apocalyptic number.

131034541311 is a deficient number, since it is larger than the sum of its proper divisors (68453360289).

131034541311 is a wasteful number, since it uses less digits than its factorization.

131034541311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131034541311 its reverse (113145430131), we get a palindrome (244179971442).

The spelling of 131034541311 in words is "one hundred thirty-one billion, thirty-four million, five hundred forty-one thousand, three hundred eleven".