131434120 has 32 divisors (see below), whose sum is σ = 297624600. Its totient is φ = 52236288.

The previous prime is 131434111. The next prime is 131434129. The reversal of 131434120 is 21434131.

It is an interprime number because it is at equal distance from previous prime (131434111) and next prime (131434129).

It can be written as a sum of positive squares in 4 ways, for example, as 96079204 + 35354916 = 9802^2 + 5946^2 .

It is not an unprimeable number, because it can be changed into a prime (131434129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4185 + ... + 16744.

Almost surely, 2^131434120 is an apocalyptic number.

131434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131434120 is an abundant number, since it is smaller than the sum of its proper divisors (166190480).

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

131434120 is a wasteful number, since it uses less digits than its factorization.

131434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21097 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131434120 is about 11464.4720768119. The cubic root of 131434120 is about 508.4357040684.

Adding to 131434120 its reverse (21434131), we get a palindrome (152868251).

The spelling of 131434120 in words is "one hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty".