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131311301 = 11231035039
BaseRepresentation
bin1111101001110…
…10011011000101
3100011002022020112
413310322123011
5232103430201
621010242405
73153061532
oct764723305
9304068215
10131311301
1168138140
1237b86405
13212875c4
1413621d89
15b7dc0bb
hex7d3a6c5

131311301 has 16 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 113052720.

The previous prime is 131311291. The next prime is 131311303. The reversal of 131311301 is 103113131.

131311301 = T318 + T319 + ... + T935.

It is a happy number.

It is not a de Polignac number, because 131311301 - 218 = 131049157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23540 + ... + 28578.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2131311301 is an apocalyptic number.

131311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131311301 is a deficient number, since it is larger than the sum of its proper divisors (19646779).

131311301 is a wasteful number, since it uses less digits than its factorization.

131311301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131311301 is about 11459.1143200511. The cubic root of 131311301 is about 508.2772849667.

Adding to 131311301 its reverse (103113131), we get a palindrome (234424432).

The spelling of 131311301 in words is "one hundred thirty-one million, three hundred eleven thousand, three hundred one".

Divisors: 1 11 23 103 253 1133 2369 5039 26059 55429 115897 519017 1274867 5709187 11937391 131311301