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131332213112013 = 3214592468123557
BaseRepresentation
bin11101110111001000101001…
…111010001111110011001101
3122020000020101202000101022200
4131313020221322033303031
5114203221333024041023
61143153104044232113
736443303446261464
oct3567105172176315
9566006352011280
10131332213112013
1138934751529241
121289109053b639
1358387613b7244
142460727a839db
15102b3bb554743
hex777229e8fccd

131332213112013 has 6 divisors (see below), whose sum is σ = 189702085606254. Its totient is φ = 87554808741336.

The previous prime is 131332213111991. The next prime is 131332213112069. The reversal of 131332213112013 is 310211312233131.

131332213112013 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 322 + 1 + 311 + 20 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130972162710249 + 360050401764 = 11444307^2 + 600042^2 .

It is not a de Polignac number, because 131332213112013 - 26 = 131332213111949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332213112083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7296234061770 + ... + 7296234061787.

It is an arithmetic number, because the mean of its divisors is an integer number (31617014267709).

Almost surely, 2131332213112013 is an apocalyptic number.

It is an amenable number.

131332213112013 is a deficient number, since it is larger than the sum of its proper divisors (58369872494241).

131332213112013 is a wasteful number, since it uses less digits than its factorization.

131332213112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14592468123563 (or 14592468123560 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131332213112013 its reverse (310211312233131), we get a palindrome (441543525345144).

The spelling of 131332213112013 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred twelve thousand, thirteen".

Divisors: 1 3 9 14592468123557 43777404370671 131332213112013