131032414013 has 8 divisors (see below), whose sum is σ = 132500631480. Its totient is φ = 129566592000.

The previous prime is 131032413983. The next prime is 131032414039. The reversal of 131032414013 is 310414230131.

It can be written as a sum of positive squares in 4 ways, for example, as 6676033849 + 124356380164 = 81707^2 + 352642^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131032414013 - 2⁶ = 131032413949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131032414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032414043) 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, 488738 + ... + 707763.

It is an arithmetic number, because the mean of its divisors is an integer number (16562578935).

Almost surely, 2^131032414013 is an apocalyptic number.

It is an amenable number.

131032414013 is a deficient number, since it is larger than the sum of its proper divisors (1468217467).

131032414013 is a wasteful number, since it uses less digits than its factorization.

131032414013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197727.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131032414013 its reverse (310414230131), we get a palindrome (441446644144).

The spelling of 131032414013 in words is "one hundred thirty-one billion, thirty-two million, four hundred fourteen thousand, thirteen".