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13311131301 = 331337923451
BaseRepresentation
bin11000110010110011…
…11011111010100101
31021100200020112101000
430121121323322211
5204230122200201
610040503423513
7650601514656
oct143131737245
937320215330
1013311131301
115710871a66
1226b5a54b99
131341999270
14903bd952d
1552d90dd86
hex31967bea5

13311131301 has 16 divisors (see below), whose sum is σ = 21237133120. Its totient is φ = 8191465200.

The previous prime is 13311131263. The next prime is 13311131303. The reversal of 13311131301 is 10313111331.

13311131301 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 31 + 301 = 666.

It is not a de Polignac number, because 13311131301 - 210 = 13311130277 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 (13311131303) 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, 18961375 + ... + 18962076.

It is an arithmetic number, because the mean of its divisors is an integer number (1327320820).

Almost surely, 213311131301 is an apocalyptic number.

It is an amenable number.

13311131301 is a deficient number, since it is larger than the sum of its proper divisors (7926001819).

13311131301 is a wasteful number, since it uses less digits than its factorization.

13311131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37923473 (or 37923467 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13311131301 its reverse (10313111331), we get a palindrome (23624242632).

The spelling of 13311131301 in words is "thirteen billion, three hundred eleven million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 13 27 39 117 351 37923451 113770353 341311059 493004863 1023933177 1479014589 4437043767 13311131301