131105352303440 has 40 divisors (see below), whose sum is σ = 315330976666440. Its totient is φ = 50633791233536.

The previous prime is 131105352303407. The next prime is 131105352303451. The reversal of 131105352303440 is 44303253501131.

It can be written as a sum of positive squares in 4 ways, for example, as 4584788828944 + 126520563474496 = 2141212^2 + 11248136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×131105352303440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131105352303440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28255461539 + ... + 28255466178.

It is an arithmetic number, because the mean of its divisors is an integer number (7883274416661).

Almost surely, 2^{131105352303440} is an apocalyptic number.

131105352303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131105352303440 is an abundant number, since it is smaller than the sum of its proper divisors (184225624363000).

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

131105352303440 is a wasteful number, since it uses less digits than its factorization.

131105352303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56510927759 (or 56510927753 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 131105352303440 in words is "one hundred thirty-one trillion, one hundred five billion, three hundred fifty-two million, three hundred three thousand, four hundred forty".