131101303215344 has 40 divisors (see below), whose sum is σ = 316686264912768. Its totient is φ = 51078429823680.

The previous prime is 131101303215313. The next prime is 131101303215347. The reversal of 131101303215344 is 443512303101131.

It is a super-4 number, since 4×131101303215344⁴ (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131101303215344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101303215347) 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, 53206696502 + ... + 53206698965.

Almost surely, 2^{131101303215344} is an apocalyptic number.

131101303215344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131101303215344 is an abundant number, since it is smaller than the sum of its proper divisors (185584961697424).

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

131101303215344 is a wasteful number, since it uses less digits than its factorization.

131101303215344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106413395493 (or 106413395487 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 131101303215344 its reverse (443512303101131), we get a palindrome (574613606316475).

The spelling of 131101303215344 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred three million, two hundred fifteen thousand, three hundred forty-four".