131017120 has 48 divisors (see below), whose sum is σ = 333343080. Its totient is φ = 48374784.

The previous prime is 131017069. The next prime is 131017121. The reversal of 131017120 is 21710131.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 86341264 = 6684^2 + 9292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131017094 and 131017103.

It is not an unprimeable number, because it can be changed into a prime (131017121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29415 + ... + 33574.

Almost surely, 2^131017120 is an apocalyptic number.

131017120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131017120 is an abundant number, since it is smaller than the sum of its proper divisors (202325960).

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

131017120 is a wasteful number, since it uses less digits than its factorization.

131017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63017 (or 63009 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 131017120 is about 11446.2710084988. The cubic root of 131017120 is about 507.8974310869.

Adding to 131017120 its reverse (21710131), we get a palindrome (152727251).

The spelling of 131017120 in words is "one hundred thirty-one million, seventeen thousand, one hundred twenty".