131120010 has 96 divisors (see below), whose sum is σ = 406598400. Its totient is φ = 28664064.

The previous prime is 131119979. The next prime is 131120021. The reversal of 131120010 is 10021131.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131119974 and 131120001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9966 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (4235400).

Almost surely, 2^131120010 is an apocalyptic number.

131120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203299200).

131120010 is an abundant number, since it is smaller than the sum of its proper divisors (275478390).

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

131120010 is a wasteful number, since it uses less digits than its factorization.

131120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9089 counting only the distinct ones).

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

The square root of 131120010 is about 11450.7646032918. The cubic root of 131120010 is about 508.0303498308.

Adding to 131120010 its reverse (10021131), we get a palindrome (141141141).

It can be divided in two parts, 1311 and 20010, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 131120010 in words is "one hundred thirty-one million, one hundred twenty thousand, ten".