131034034313 has 16 divisors (see below), whose sum is σ = 161286644736. Its totient is φ = 103666288320.

The previous prime is 131034034297. The next prime is 131034034343. The reversal of 131034034313 is 313430430131.

It is not a de Polignac number, because 131034034313 - 2⁴ = 131034034297 is a prime.

It is a super-2 number, since 2×131034034313² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131034034343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113608 + ... + 1225638.

It is an arithmetic number, because the mean of its divisors is an integer number (10080415296).

Almost surely, 2^131034034313 is an apocalyptic number.

131034034313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131034034313 is a deficient number, since it is larger than the sum of its proper divisors (30252610423).

131034034313 is a wasteful number, since it uses less digits than its factorization.

131034034313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124904.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 131034034313 its reverse (313430430131), we get a palindrome (444464464444).

The spelling of 131034034313 in words is "one hundred thirty-one billion, thirty-four million, thirty-four thousand, three hundred thirteen".