131013203010313 has 8 divisors (see below), whose sum is σ = 141210609240456. Its totient is φ = 120832863571200.

The previous prime is 131013203010299. The next prime is 131013203010329. The reversal of 131013203010313 is 313010302310131.

It can be written as a sum of positive squares in 4 ways, for example, as 42461865940729 + 88551337069584 = 6516277^2 + 9410172^2 .

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 131013203010313 - 2²⁵ = 131013169455881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131013203050313) 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, 4266681808 + ... + 4266712513.

It is an arithmetic number, because the mean of its divisors is an integer number (17651326155057).

Almost surely, 2^{131013203010313} is an apocalyptic number.

131013203010313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131013203010313 is a deficient number, since it is larger than the sum of its proper divisors (10197406230143).

131013203010313 is a wasteful number, since it uses less digits than its factorization.

131013203010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533395515.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131013203010313 its reverse (313010302310131), we get a palindrome (444023505320444).

The spelling of 131013203010313 in words is "one hundred thirty-one trillion, thirteen billion, two hundred three million, ten thousand, three hundred thirteen".