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13131131331231 = 33971515006003
BaseRepresentation
bin1011111100010101010001…
…1010110010001010011111
31201111022202010020100121000
42333011110122302022133
53210120024110044411
643532205232041343
72523456450463464
oct277052432621237
951438663210530
1013131131331231
114202977343811
121580a99393253
137433500607c4
1433579b86766b
1517b8869be956
hexbf1546b229f

13131131331231 has 16 divisors (see below), whose sum is σ = 19453732024320. Its totient is φ = 8753995697400.

The previous prime is 13131131331229. The next prime is 13131131331271. The reversal of 13131131331231 is 13213313113131.

13131131331231 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 1 + 313 + 312 + 31 = 666.

It is not a de Polignac number, because 13131131331231 - 21 = 13131131331229 is a prime.

It is a super-2 number, since 2×131311313312312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13131131331195 and 13131131331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131131331271) 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, 120076 + ... + 5126078.

It is an arithmetic number, because the mean of its divisors is an integer number (1215858251520).

Almost surely, 213131131331231 is an apocalyptic number.

13131131331231 is a deficient number, since it is larger than the sum of its proper divisors (6322600693089).

13131131331231 is an equidigital number, since it uses as much as digits as its factorization.

13131131331231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103163 (or 5103157 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 13131131331231 its reverse (13213313113131), we get a palindrome (26344444444362).

The spelling of 13131131331231 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 27 97151 291453 874359 2623077 5006003 15018009 45054027 135162081 486338197453 1459014592359 4377043777077 13131131331231