131310114432003 has 48 divisors (see below), whose sum is σ = 207448834678176. Its totient is φ = 79546406607360.

The previous prime is 131310114431987. The next prime is 131310114432011. The reversal of 131310114432003 is 300234411013131.

131310114432003 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 0 + 11 + 443 + 200 + 3 = 666.

It is not a de Polignac number, because 131310114432003 - 2⁴ = 131310114431987 is a prime.

It is a super-3 number, since 3×131310114432003³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131310114432053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5954301 + ... + 17264817.

It is an arithmetic number, because the mean of its divisors is an integer number (4321850722462).

Almost surely, 2^{131310114432003} is an apocalyptic number.

131310114432003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131310114432003 is a deficient number, since it is larger than the sum of its proper divisors (76138720246173).

131310114432003 is a wasteful number, since it uses less digits than its factorization.

131310114432003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312084 (or 11312081 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131310114432003 its reverse (300234411013131), we get a palindrome (431544525445134).

The spelling of 131310114432003 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred fourteen million, four hundred thirty-two thousand, three".