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131313332012221 = 1011301999332821
BaseRepresentation
bin11101110110110111000100…
…100000100100010010111101
3122012221102122212220010121101
4131312313010200210102331
5114202414200443342341
61143140302324533101
736442034531466352
oct3566670440442275
9565842585803541
10131313332012221
1138927742653537
12128894a1251191
135836a42779c48
14245d85621a629
15102ab63b54831
hex776dc48244bd

131313332012221 has 8 divisors (see below), whose sum is σ = 132715396092888. Its totient is φ = 129913266600000.

The previous prime is 131313332012197. The next prime is 131313332012237. The reversal of 131313332012221 is 122210233313131.

It can be written as a sum of positive squares in 4 ways, for example, as 522338652900 + 130790993359321 = 722730^2 + 11436389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131313332012221 - 29 = 131313332011709 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131313332012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313332015221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499535010 + ... + 499797811.

It is an arithmetic number, because the mean of its divisors is an integer number (16589424511611).

Almost surely, 2131313332012221 is an apocalyptic number.

It is an amenable number.

131313332012221 is a deficient number, since it is larger than the sum of its proper divisors (1402064080667).

131313332012221 is a wasteful number, since it uses less digits than its factorization.

131313332012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999334223.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131313332012221 its reverse (122210233313131), we get a palindrome (253523565325352).

The spelling of 131313332012221 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred thirty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 101 1301 131401 999332821 100932614921 1300132000121 131313332012221