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13131420340251 = 31719471791610783
BaseRepresentation
bin1011111100010110010110…
…1001010001000000011011
31201111100111021001112102210
42333011211221101000123
53210121122101342001
643532254034330203
72523466560145413
oct277054551210033
951440437045383
1013131420340251
1142030054a0544
121580b5a129963
13743397bb0965
143357c7db9643
1517b8a205bdd6
hexbf165a5101b

13131420340251 has 64 divisors (see below), whose sum is σ = 20040730214400. Its totient is φ = 7596911817216.

The previous prime is 13131420340249. The next prime is 13131420340253. The reversal of 13131420340251 is 15204302413131.

It is an interprime number because it is at equal distance from previous prime (13131420340249) and next prime (13131420340253).

It is not a de Polignac number, because 13131420340251 - 21 = 13131420340249 is a prime.

It is a super-2 number, since 2×131314203402512 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131420340253) 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, 7346806 + ... + 8957588.

It is an arithmetic number, because the mean of its divisors is an integer number (313136409600).

Almost surely, 213131420340251 is an apocalyptic number.

13131420340251 is a deficient number, since it is larger than the sum of its proper divisors (6909309874149).

13131420340251 is a wasteful number, since it uses less digits than its factorization.

13131420340251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611048.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13131420340251 its reverse (15204302413131), we get a palindrome (28335722753382).

The spelling of 13131420340251 in words is "thirteen trillion, one hundred thirty-one billion, four hundred twenty million, three hundred forty thousand, two hundred fifty-one".

Divisors: 1 3 17 19 47 51 57 141 179 323 537 799 893 969 2397 2679 3043 3401 8413 9129 10203 15181 25239 45543 57817 143021 159847 173451 429063 479541 1610783 2717399 4832349 8152197 27383311 30604877 75706801 82149933 91814631 227120403 288330157 520282909 864990471 1287015617 1438429219 1560848727 3861046851 4315287657 4901612669 5478272983 13551517379 14704838007 16434818949 24453296723 40654552137 73359890169 93130640711 230375795443 257478830201 279391922133 691127386329 772436490603 4377140113417 13131420340251