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131331523330521 = 36180152981249
BaseRepresentation
bin11101110111001000000000…
…110010111100000111011001
3122020000011121200001212000000
4131313020000302330013121
5114203213424433034041
61143152511404003213
736443250402236643
oct3567100062740731
9566004550055000
10131331523330521
1138934428129198
1212890b19530509
135838681515007
1424606a0209893
15102b37abeebb6
hex777200cbc1d9

131331523330521 has 14 divisors (see below), whose sum is σ = 196907208506250. Its totient is φ = 87554348886528.

The previous prime is 131331523330481. The next prime is 131331523330541. The reversal of 131331523330521 is 125033325133131.

131331523330521 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 315 + 2 + 3 + 330 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104308535054025 + 27022988276496 = 10213155^2 + 5198364^2 .

It is not a de Polignac number, because 131331523330521 - 27 = 131331523330393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131331523330541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90076489896 + ... + 90076491353.

Almost surely, 2131331523330521 is an apocalyptic number.

It is an amenable number.

131331523330521 is a deficient number, since it is larger than the sum of its proper divisors (65575685175729).

131331523330521 is an frugal number, since it uses more digits than its factorization.

131331523330521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180152981267 (or 180152981252 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 131331523330521 its reverse (125033325133131), we get a palindrome (256364848463652).

The spelling of 131331523330521 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, five hundred twenty-three million, three hundred thirty thousand, five hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 180152981249 540458943747 1621376831241 4864130493723 14592391481169 43777174443507 131331523330521