131338320 has 160 divisors (see below), whose sum is σ = 426639360. Its totient is φ = 33384960.

The previous prime is 131338309. The next prime is 131338331. The reversal of 131338320 is 23833131.

It is an interprime number because it is at equal distance from previous prime (131338309) and next prime (131338331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944811 + ... + 944949.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^131338320 is an apocalyptic number.

131338320 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 131338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213319680).

131338320 is an abundant number, since it is smaller than the sum of its proper divisors (295301040).

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

131338320 is a wasteful number, since it uses less digits than its factorization.

131338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 131338320 is about 11460.2931899668. The cubic root of 131338320 is about 508.3121441196.

The spelling of 131338320 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, three hundred twenty".