Search a number
-
+
13131311301 = 33486344863
BaseRepresentation
bin11000011101010111…
…11110100011000101
31020220010212201201000
430032223332203011
5203343103430201
610011001323513
7643256206263
oct141653764305
936803781630
1013131311301
115629312599
122665796599
1313136592b4
148c7d8b433
1551cc3dd86
hex30eafe8c5

13131311301 has 8 divisors (see below), whose sum is σ = 19453794560. Its totient is φ = 8754207516.

The previous prime is 13131311251. The next prime is 13131311351. The reversal of 13131311301 is 10311313131.

It is an interprime number because it is at equal distance from previous prime (13131311251) and next prime (13131311351).

It is not a de Polignac number, because 13131311301 - 210 = 13131310277 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 (13131311351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243172405 + ... + 243172458.

It is an arithmetic number, because the mean of its divisors is an integer number (2431724320).

Almost surely, 213131311301 is an apocalyptic number.

It is an amenable number.

13131311301 is a deficient number, since it is larger than the sum of its proper divisors (6322483259).

13131311301 is an equidigital number, since it uses as much as digits as its factorization.

13131311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486344872 (or 486344866 counting only the distinct ones).

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

Adding to 13131311301 its reverse (10311313131), we get a palindrome (23442624432).

The spelling of 13131311301 in words is "thirteen billion, one hundred thirty-one million, three hundred eleven thousand, three hundred one".

Divisors: 1 3 9 27 486344863 1459034589 4377103767 13131311301