Search a number
-
+
131311122231213 = 3259247290249023
BaseRepresentation
bin11101110110110101000000…
…110010111010111110101101
3122012221012221212210121221100
4131312311000302322332231
5114202400134242344323
61143135255145353313
736441626006612211
oct3566650062727655
9565835855717840
10131311122231213
1138926809253341
1212888b85198839
13583677ca02612
14245d6c6954941
15102aa84b54943
hex776d40cbafad

131311122231213 has 12 divisors (see below), whose sum is σ = 192886394238720. Its totient is φ = 86057006659656.

The previous prime is 131311122231209. The next prime is 131311122231217. The reversal of 131311122231213 is 312132221113131.

131311122231213 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 111 + 222 + 312 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (131311122231209) and next prime (131311122231217).

It is not a de Polignac number, because 131311122231213 - 22 = 131311122231209 is a prime.

It is a super-2 number, since 2×1313111222312132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311122231217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123645123981 + ... + 123645125042.

It is an arithmetic number, because the mean of its divisors is an integer number (16073866186560).

Almost surely, 2131311122231213 is an apocalyptic number.

It is an amenable number.

131311122231213 is a deficient number, since it is larger than the sum of its proper divisors (61575272007507).

131311122231213 is a wasteful number, since it uses less digits than its factorization.

131311122231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247290249088 (or 247290249085 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131311122231213 its reverse (312132221113131), we get a palindrome (443443343344344).

The spelling of 131311122231213 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred twenty-two million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 59 177 531 247290249023 741870747069 2225612241207 14590124692357 43770374077071 131311122231213