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131313220131 = 3435319206263
BaseRepresentation
bin111101001001011100…
…0001011101000100011
3110112221102222201222110
41322102320023220203
54122412141021011
6140154030010403
712326030645322
oct1722270135043
9415842881873
10131313220131
1150764986925
1221548646a03
13c4c8c8ac72
1464d9a6c0b9
1536382b5ba6
hex1e92e0ba23

131313220131 has 16 divisors (see below), whose sum is σ = 182536333056. Its totient is φ = 83892952416.

The previous prime is 131313220127. The next prime is 131313220151. The reversal of 131313220131 is 131022313131.

It is a happy number.

It is not a de Polignac number, because 131313220131 - 22 = 131313220127 is a prime.

It is a super-2 number, since 2×1313132201312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131313220098 and 131313220107.

It is not an unprimeable number, because it can be changed into a prime (131313220151) 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, 9596295 + ... + 9609968.

It is an arithmetic number, because the mean of its divisors is an integer number (11408520816).

Almost surely, 2131313220131 is an apocalyptic number.

131313220131 is a deficient number, since it is larger than the sum of its proper divisors (51223112925).

131313220131 is a wasteful number, since it uses less digits than its factorization.

131313220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19206362.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131313220131 its reverse (131022313131), we get a palindrome (262335533262).

The spelling of 131313220131 in words is "one hundred thirty-one billion, three hundred thirteen million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 43 53 129 159 2279 6837 19206263 57618789 825869309 1017931939 2477607927 3053795817 43771073377 131313220131