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131341303401 = 37111973409933
BaseRepresentation
bin111101001010010001…
…1010011111001101001
3110120000101211111222120
41322110203103321221
54122441333202101
6140200511541453
712326521441620
oct1722443237151
9416011744876
10131341303401
1150779818240
1221555b2a889
13c501a41699
1464dd69c6b7
15363a9b1b36
hex1e948d3e69

131341303401 has 64 divisors (see below), whose sum is σ = 232973690880. Its totient is φ = 63752624640.

The previous prime is 131341303397. The next prime is 131341303441. The reversal of 131341303401 is 104303143131.

It is not a de Polignac number, because 131341303401 - 22 = 131341303397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131341303441) 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, 115431 + ... + 525363.

It is an arithmetic number, because the mean of its divisors is an integer number (3640213920).

Almost surely, 2131341303401 is an apocalyptic number.

131341303401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131341303401 is a deficient number, since it is larger than the sum of its proper divisors (101632387479).

131341303401 is a wasteful number, since it uses less digits than its factorization.

131341303401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410046.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131341303401 its reverse (104303143131), we get a palindrome (235644446532).

The spelling of 131341303401 in words is "one hundred thirty-one billion, three hundred forty-one million, three hundred three thousand, four hundred one".

Divisors: 1 3 7 11 19 21 33 57 73 77 133 209 219 231 399 511 627 803 1387 1463 1533 2409 4161 4389 5621 9709 15257 16863 29127 45771 106799 320397 409933 1229799 2869531 4509263 7788727 8608593 13527789 23366181 29925109 31564841 54521089 85675997 89775327 94694523 163563267 209475763 257027991 329176199 568577071 599731979 628427289 987528597 1705731213 1799195937 2304233393 3980039497 6254347781 6912700179 11940118491 18763043343 43780434467 131341303401