131412016 has 40 divisors (see below), whose sum is σ = 260742240. Its totient is φ = 64137216.

The previous prime is 131411981. The next prime is 131412019. The reversal of 131412016 is 610214131.

It is a junction number, because it is equal to n+sod(n) for n = 131411984 and 131412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412019) 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, 299125 + ... + 299563.

It is an arithmetic number, because the mean of its divisors is an integer number (6518556).

Almost surely, 2^131412016 is an apocalyptic number.

131412016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131412016 is a deficient number, since it is larger than the sum of its proper divisors (129330224).

131412016 is a wasteful number, since it uses less digits than its factorization.

131412016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131412016 is about 11463.5080145652. The cubic root of 131412016 is about 508.4072003261.

Adding to 131412016 its reverse (610214131), we get a palindrome (741626147).

The spelling of 131412016 in words is "one hundred thirty-one million, four hundred twelve thousand, sixteen".