131413320 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 34836480.

The previous prime is 131413279. The next prime is 131413327. The reversal of 131413320 is 23314131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131413293 and 131413302.

It is not an unprimeable number, because it can be changed into a prime (131413327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292456 + ... + 292904.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^131413320 is an apocalyptic number.

131413320 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 131413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

131413320 is an abundant number, since it is smaller than the sum of its proper divisors (309226680).

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

131413320 is a wasteful number, since it uses less digits than its factorization.

131413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131413320 is about 11463.5648905565. The cubic root of 131413320 is about 508.4088819602.

Adding to 131413320 its reverse (23314131), we get a palindrome (154727451).

It can be divided in two parts, 13141 and 3320, that added together give a palindrome (16461).

The spelling of 131413320 in words is "one hundred thirty-one million, four hundred thirteen thousand, three hundred twenty".