131412310031440 has 40 divisors (see below), whose sum is σ = 305590275566568. Its totient is φ = 52555176960000.

The previous prime is 131412310031329. The next prime is 131412310031441. The reversal of 131412310031440 is 44130013214131.

It can be written as a sum of positive squares in 4 ways, for example, as 27246771384336 + 104165538647104 = 5219844^2 + 10206152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131412310031399 and 131412310031408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412310031441) 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, 151863561 + ... + 152726440.

Almost surely, 2^{131412310031440} is an apocalyptic number.

131412310031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412310031440 is an abundant number, since it is smaller than the sum of its proper divisors (174177965535128).

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

131412310031440 is a wasteful number, since it uses less digits than its factorization.

131412310031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304595407 (or 304595401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131412310031440 its reverse (44130013214131), we get a palindrome (175542323245571).

The spelling of 131412310031440 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million, thirty-one thousand, four hundred forty".