131353052533245 has 48 divisors (see below), whose sum is σ = 227849457092400. Its totient is φ = 70002402462720.

The previous prime is 131353052533229. The next prime is 131353052533249. The reversal of 131353052533245 is 542335250353131.

131353052533245 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 305 + 2 + 5 + 332 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36601459407396 + 94751593125849 = 6049914^2 + 9734043^2 .

It is not a de Polignac number, because 131353052533245 - 2⁴ = 131353052533229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131353052533245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131353052533249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718770135 + ... + 1718846555.

It is an arithmetic number, because the mean of its divisors is an integer number (4746863689425).

Almost surely, 2^{131353052533245} is an apocalyptic number.

131353052533245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131353052533245 is a deficient number, since it is larger than the sum of its proper divisors (96496404559155).

131353052533245 is a wasteful number, since it uses less digits than its factorization.

131353052533245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104590 (or 104587 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 131353052533245 in words is "one hundred thirty-one trillion, three hundred fifty-three billion, fifty-two million, five hundred thirty-three thousand, two hundred forty-five".