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131301320243121 = 3278340216244769
BaseRepresentation
bin11101110110101011111000…
…100011010011011110110001
3122012220021122202122001002100
4131312223320203103132301
5114202220100440234441
61143130554355011013
736441131055234360
oct3566537043233661
9565807582561070
10131301320243121
1138922639293636
12128870aa599a69
13583587a054572
14245d036c177d7
15102a6ae35bcb6
hex776af88d37b1

131301320243121 has 48 divisors (see below), whose sum is σ = 219417437715840. Its totient is φ = 74106911646720.

The previous prime is 131301320243087. The next prime is 131301320243213. The reversal of 131301320243121 is 121342023103131.

131301320243121 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 1 + 3 + 202 + 431 + 21 = 666.

It is not a de Polignac number, because 131301320243121 - 211 = 131301320241073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131301320243221) 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, 17903425 + ... + 24148193.

It is an arithmetic number, because the mean of its divisors is an integer number (4571196619080).

Almost surely, 2131301320243121 is an apocalyptic number.

It is an amenable number.

131301320243121 is a deficient number, since it is larger than the sum of its proper divisors (88116117472719).

131301320243121 is a wasteful number, since it uses less digits than its factorization.

131301320243121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248886 (or 6248883 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131301320243121 its reverse (121342023103131), we get a palindrome (252643343346252).

The spelling of 131301320243121 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred twenty million, two hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 4021 5229 12063 28147 36189 84441 253323 333743 1001229 2336201 3003687 6244769 7008603 18734307 21025809 43713383 56202921 131140149 393420447 518315827 1554947481 3628210789 4664842443 10884632367 25110216149 32653897101 75330648447 175771513043 225991945341 527314539129 1581943617387 2084147940367 6252443821101 14589035582569 18757331463303 43767106747707 131301320243121