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13131103210131 = 3113270611431389
BaseRepresentation
bin1011111100010101001010…
…1111100000101010010011
31201111022200011022122200210
42333011102233200222103
53210114444410211011
643532202345215203
72523455656451664
oct277052257405223
951438604278623
1013131103210131
114202962486a35
121580a8ba91503
13743347295aba
14335797c2736b
1517b8842b76a6
hexbf152be0a93

13131103210131 has 16 divisors (see below), whose sum is σ = 17663741938080. Its totient is φ = 8676272478720.

The previous prime is 13131103210117. The next prime is 13131103210139. The reversal of 13131103210131 is 13101230113131.

It is not a de Polignac number, because 13131103210131 - 213 = 13131103201939 is a prime.

It is a super-3 number, since 3×131311032101313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13131103210098 and 13131103210107.

It is not an unprimeable number, because it can be changed into a prime (13131103210139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8457985 + ... + 9889373.

It is an arithmetic number, because the mean of its divisors is an integer number (1103983871130).

Almost surely, 213131103210131 is an apocalyptic number.

13131103210131 is a deficient number, since it is larger than the sum of its proper divisors (4532638727949).

13131103210131 is a wasteful number, since it uses less digits than its factorization.

13131103210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458566.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13131103210131 its reverse (13101230113131), we get a palindrome (26232333323262).

The spelling of 13131103210131 in words is "thirteen trillion, one hundred thirty-one billion, one hundred three million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 113 339 27061 81183 1431389 3057893 4294167 9173679 161746957 485240871 38734817729 116204453187 4377034403377 13131103210131