131213760 has 112 divisors (see below), whose sum is σ = 420965376. Its totient is φ = 34624512.

The previous prime is 131213749. The next prime is 131213767. The reversal of 131213760 is 67312131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131213760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213767) 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, 98217 + ... + 99543.

Almost surely, 2^131213760 is an apocalyptic number.

131213760 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 131213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210482688).

131213760 is an abundant number, since it is smaller than the sum of its proper divisors (289751616).

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

131213760 is a wasteful number, since it uses less digits than its factorization.

131213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131213760 is about 11454.8574849275. The cubic root of 131213760 is about 508.1514005095.

Adding to 131213760 its reverse (67312131), we get a palindrome (198525891).

The spelling of 131213760 in words is "one hundred thirty-one million, two hundred thirteen thousand, seven hundred sixty".