131134431131 has 8 divisors (see below), whose sum is σ = 143136268464. Its totient is φ = 119146014720.

The previous prime is 131134431121. The next prime is 131134431157.

131134431131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131134431131 - 2⁶ = 131134431067 is a prime.

It is a super-2 number, since 2×131134431131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131134431131.

It is not an unprimeable number, because it can be changed into a prime (131134431121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3334790 + ... + 3373883.

It is an arithmetic number, because the mean of its divisors is an integer number (17892033558).

Almost surely, 2^131134431131 is an apocalyptic number.

131134431131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131134431131 is a deficient number, since it is larger than the sum of its proper divisors (12001837333).

131134431131 is a wasteful number, since it uses less digits than its factorization.

131134431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710461.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 131134 and 431131, that added together give a palindrome (562265).

The spelling of 131134431131 in words is "one hundred thirty-one billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred thirty-one".