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1313332330301 = 41228128334957
BaseRepresentation
bin10011000111001000101…
…101001111111100111101
311122112221101111000011022
4103013020231033330331
5133004201034032201
62443200405433525
7163612412421125
oct23071055177475
94575841430138
101313332330301
11466a87953292
1219264840b8a5
1396b012a6794
14477cc101c85
152426962041b
hex131c8b4ff3d

1313332330301 has 16 divisors (see below), whose sum is σ = 1346701360368. Its totient is φ = 1280027750400.

The previous prime is 1313332330279. The next prime is 1313332330361. The reversal of 1313332330301 is 1030332333131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11225402500 + 1302106927801 = 105950^2 + 1141099^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313332330301 - 210 = 1313332329277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313332330361) 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, 264942515 + ... + 264947471.

It is an arithmetic number, because the mean of its divisors is an integer number (84168835023).

Almost surely, 21313332330301 is an apocalyptic number.

It is an amenable number.

1313332330301 is a deficient number, since it is larger than the sum of its proper divisors (33369030067).

1313332330301 is a wasteful number, since it uses less digits than its factorization.

1313332330301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1313332330301 its reverse (1030332333131), we get a palindrome (2343664663432).

The spelling of 1313332330301 in words is "one trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred thirty thousand, three hundred one".

Divisors: 1 41 2281 2833 4957 93521 116153 203237 6462073 11306917 14043181 264944993 463583597 575770421 32032495861 1313332330301