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1331211301333 = 293115129333469
BaseRepresentation
bin10011010111110010011…
…000000111000111010101
311201021002101220211122121
4103113302120013013111
5133302310043120313
62455314450055541
7165114441235114
oct23276230070725
94637071824577
101331211301333
11473622090901
12195bb7b7a5b1
13986c040c994
1448606825c7b
152496406d28d
hex135f26071d5

1331211301333 has 32 divisors (see below), whose sum is σ = 1435879065600. Its totient is φ = 1231354656000.

The previous prime is 1331211301297. The next prime is 1331211301349. The reversal of 1331211301333 is 3331031121331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331211301333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331211301298 and 1331211301307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331211311333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39757723 + ... + 39791191.

It is an arithmetic number, because the mean of its divisors is an integer number (44871220800).

Almost surely, 21331211301333 is an apocalyptic number.

It is an amenable number.

1331211301333 is a deficient number, since it is larger than the sum of its proper divisors (104667764267).

1331211301333 is a wasteful number, since it uses less digits than its factorization.

1331211301333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1331211301333 its reverse (3331031121331), we get a palindrome (4662242422664).

The spelling of 1331211301333 in words is "one trillion, three hundred thirty-one billion, two hundred eleven million, three hundred one thousand, three hundred thirty-three".

Divisors: 1 29 31 151 293 899 4379 4681 8497 9083 33469 44243 135749 263407 970601 1037539 1283047 1371533 5053819 9806417 30088631 39774457 146560751 156668389 284386093 303998927 1480768967 4543383281 8815968883 42942300043 45903837977 1331211301333