131401313 has 8 divisors (see below), whose sum is σ = 139390632. Its totient is φ = 123440896.

The previous prime is 131401297. The next prime is 131401339. The reversal of 131401313 is 313104131.

It can be written as a sum of positive squares in 4 ways, for example, as 253009 + 131148304 = 503^2 + 11452^2 .

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 131401313 - 2⁴ = 131401297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131401291 and 131401300.

It is not an unprimeable number, because it can be changed into a prime (131401013) 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, 2531 + ... + 16407.

It is an arithmetic number, because the mean of its divisors is an integer number (17423829).

Almost surely, 2^131401313 is an apocalyptic number.

It is an amenable number.

131401313 is a deficient number, since it is larger than the sum of its proper divisors (7989319).

131401313 is a wasteful number, since it uses less digits than its factorization.

131401313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131401313 is about 11463.0411758835. The cubic root of 131401313 is about 508.3933973519.

Adding to 131401313 its reverse (313104131), we get a palindrome (444505444).

The spelling of 131401313 in words is "one hundred thirty-one million, four hundred one thousand, three hundred thirteen".