131312034 has 48 divisors (see below), whose sum is σ = 327570048. Its totient is φ = 37238976.

The previous prime is 131312033. The next prime is 131312047. The reversal of 131312034 is 430213131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131311998 and 131312016.

It is not an unprimeable number, because it can be changed into a prime (131312033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13459 + ... + 21065.

It is an arithmetic number, because the mean of its divisors is an integer number (6824376).

Almost surely, 2^131312034 is an apocalyptic number.

131312034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163785024).

131312034 is an abundant number, since it is smaller than the sum of its proper divisors (196258014).

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

131312034 is a wasteful number, since it uses less digits than its factorization.

131312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131312034 is about 11459.1463032811. The cubic root of 131312034 is about 508.2782307258.

Adding to 131312034 its reverse (430213131), we get a palindrome (561525165).

The spelling of 131312034 in words is "one hundred thirty-one million, three hundred twelve thousand, thirty-four".