131413120 has 128 divisors (see below), whose sum is σ = 337089600. Its totient is φ = 48844800.

The previous prime is 131413097. The next prime is 131413127. The reversal of 131413120 is 21314131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131413094 and 131413103.

It is not an unprimeable number, because it can be changed into a prime (131413127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228107 + ... + 1228213.

Almost surely, 2^131413120 is an apocalyptic number.

131413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168544800).

131413120 is an abundant number, since it is smaller than the sum of its proper divisors (205676480).

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

131413120 is a wasteful number, since it uses less digits than its factorization.

131413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131413120 is about 11463.5561672633. The cubic root of 131413120 is about 508.4086240416.

Adding to 131413120 its reverse (21314131), we get a palindrome (152727251).

It can be divided in two parts, 13141 and 3120, that added together give a palindrome (16261).

The spelling of 131413120 in words is "one hundred thirty-one million, four hundred thirteen thousand, one hundred twenty".