131211120 has 80 divisors (see below), whose sum is σ = 410857632. Its totient is φ = 34636800.

The previous prime is 131211097. The next prime is 131211133. The reversal of 131211120 is 21112131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131211096 and 131211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21534 + ... + 26946.

Almost surely, 2^131211120 is an apocalyptic number.

131211120 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 131211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205428816).

131211120 is an abundant number, since it is smaller than the sum of its proper divisors (279646512).

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

131211120 is a wasteful number, since it uses less digits than its factorization.

131211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131211120 is about 11454.7422493917. The cubic root of 131211120 is about 508.1479925115.

Adding to 131211120 its reverse (21112131), we get a palindrome (152323251).

It can be divided in two parts, 1312111 and 20, that added together give a palindrome (1312131).

The spelling of 131211120 in words is "one hundred thirty-one million, two hundred eleven thousand, one hundred twenty".