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1331333231013 = 326712891712839
BaseRepresentation
bin10011010111111001101…
…001001111000110100101
311201021101220100111201200
4103113321221033012211
5133303032301343023
62455334523313113
7165120451514202
oct23277151170645
94637356314650
101331333231013
114736849a0435
1219603097b799
139870c761016
1448618ac4ca9
152496eb05743
hex135f9a4f1a5

1331333231013 has 24 divisors (see below), whose sum is σ = 1953254222400. Its totient is φ = 873629596224.

The previous prime is 1331333230999. The next prime is 1331333231047. The reversal of 1331333231013 is 3101323331331.

1331333231013 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 332 + 310 + 13 = 666.

It is not a de Polignac number, because 1331333231013 - 218 = 1331332968869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331333231513) 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 23 ways as a sum of consecutive naturals, for example, 79153 + ... + 1633686.

It is an arithmetic number, because the mean of its divisors is an integer number (81385592600).

Almost surely, 21331333231013 is an apocalyptic number.

It is an amenable number.

1331333231013 is a deficient number, since it is larger than the sum of its proper divisors (621920991387).

1331333231013 is a wasteful number, since it uses less digits than its factorization.

1331333231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714201 (or 1714198 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1331333231013 its reverse (3101323331331), we get a palindrome (4432656562344).

The spelling of 1331333231013 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-three million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 67 201 603 1289 3867 11601 86363 259089 777267 1712839 5138517 15415551 114760213 344280639 1032841917 2207849471 6623548413 19870645239 147925914557 443777743671 1331333231013