131001120 has 144 divisors (see below), whose sum is σ = 462603960. Its totient is φ = 33718272.

The previous prime is 131001113. The next prime is 131001131. The reversal of 131001120 is 21100131.

It can be written as a sum of positive squares in 4 ways, for example, as 130233744 + 767376 = 11412^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×131001120² = 34322586882508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40192 + ... + 43328.

Almost surely, 2^131001120 is an apocalyptic number.

131001120 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 131001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231301980).

131001120 is an abundant number, since it is smaller than the sum of its proper divisors (331602840).

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

131001120 is a wasteful number, since it uses less digits than its factorization.

131001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131001120 is about 11445.5720695822. The cubic root of 131001120 is about 507.8767551892.

Adding to 131001120 its reverse (21100131), we get a palindrome (152101251).

The spelling of 131001120 in words is "one hundred thirty-one million, one thousand, one hundred twenty".