131010144114432 has 144 divisors (see below), whose sum is σ = 382306891139712. Its totient is φ = 39498520104960.

The previous prime is 131010144114347. The next prime is 131010144114467. The reversal of 131010144114432 is 234411441010131.

It is a self number, because there is not a number n which added to its sum of digits gives 131010144114432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37695718 + ... + 41024229.

It is an arithmetic number, because the mean of its divisors is an integer number (2654908966248).

Almost surely, 2^{131010144114432} is an apocalyptic number.

131010144114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131010144114432 is an abundant number, since it is smaller than the sum of its proper divisors (251296747025280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131010144114432 is a wasteful number, since it uses less digits than its factorization.

131010144114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78720174 (or 78720160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131010144114432 its reverse (234411441010131), we get a palindrome (365421585124563).

The spelling of 131010144114432 in words is "one hundred thirty-one trillion, ten billion, one hundred forty-four million, one hundred fourteen thousand, four hundred thirty-two".