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313303311131133 = 397137121714094583
BaseRepresentation
bin100011100111100101001110…
…0100100010010000111111101
31112002022111121102212000220010
41013033022130210102013331
5312031130140122144013
63030201315411013433
7122664263055356511
oct10717123444220775
91462274542760803
10313303311131133
1190912208373324
122b180344b9a279
13105a84b5b9a80b
145751d65636141
152634b112057c3
hex11cf29c9121fd

313303311131133 has 64 divisors (see below), whose sum is σ = 425869132792320. Its totient is φ = 204847869591552.

The previous prime is 313303311131131. The next prime is 313303311131143. The reversal of 313303311131133 is 331131113303313.

It is not a de Polignac number, because 313303311131133 - 21 = 313303311131131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313303311131133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313303311131131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68362055560 + ... + 68362060142.

It is an arithmetic number, because the mean of its divisors is an integer number (6654205199880).

Almost surely, 2313303311131133 is an apocalyptic number.

It is an amenable number.

313303311131133 is a deficient number, since it is larger than the sum of its proper divisors (112565821661187).

313303311131133 is a wasteful number, since it uses less digits than its factorization.

313303311131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its (nonzero) digits is 6561, while the sum is 30.

Adding to 313303311131133 its reverse (331131113303313), we get a palindrome (644434424434446).

The spelling of 313303311131133 in words is "three hundred thirteen trillion, three hundred three billion, three hundred eleven million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 97 137 291 411 1217 1409 3651 4227 4583 13289 13749 39867 118049 136673 166729 193033 354147 410019 444551 500187 579099 627871 1333653 1714753 1883613 5144259 5577511 6457447 16172713 16732533 18724201 19372341 48518139 56172603 60903487 166331041 182710461 234921161 498993123 541018567 626372359 704763483 764119007 884670239 1623055701 1879117077 2292357021 2654010717 7858712999 22787352617 23576138997 68362057851 74119543679 85813013183 222358631037 257439039549 762295160903 1076643680863 2286885482709 3229931042589 104434437043711 313303311131133