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131513314251 = 311411512692393
BaseRepresentation
bin111101001111011001…
…1011110101111001011
3110120110101111120111210
41322132303132233023
54123314402024001
6140225534424203
712334010504154
oct1723663365713
9416411446453
10131513314251
1150857923570
12215a3662063
13c52b579057
14651847692b
15364ab3cdd6
hex1e9ecdebcb

131513314251 has 64 divisors (see below), whose sum is σ = 198071516160. Its totient is φ = 76926720000.

The previous prime is 131513314249. The next prime is 131513314291. The reversal of 131513314251 is 152413315131.

It is not a de Polignac number, because 131513314251 - 21 = 131513314249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131513314241) 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, 54956311 + ... + 54958703.

It is an arithmetic number, because the mean of its divisors is an integer number (3094867440).

Almost surely, 2131513314251 is an apocalyptic number.

131513314251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131513314251 is a deficient number, since it is larger than the sum of its proper divisors (66558201909).

131513314251 is a wasteful number, since it uses less digits than its factorization.

131513314251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868.

The product of its digits is 5400, while the sum is 30.

Adding to 131513314251 its reverse (152413315131), we get a palindrome (283926629382).

The spelling of 131513314251 in words is "one hundred thirty-one billion, five hundred thirteen million, three hundred fourteen thousand, two hundred fifty-one".

Divisors: 1 3 11 33 41 123 151 269 451 453 807 1353 1661 2393 2959 4983 6191 7179 8877 11029 18573 26323 33087 40619 68101 78969 98113 121319 121857 204303 294339 361343 363957 446809 643717 1079243 1084029 1340427 1665379 1931151 3237729 3974773 4996137 7080887 11924319 14815063 18319169 21242661 26392397 44445189 54957507 79177191 97201267 162965693 290316367 291603801 488897079 870949101 1069213937 3207641811 3985251947 11955755841 43837771417 131513314251