Search a number
-
+
20131312101319 is a prime number
BaseRepresentation
bin1001001001111001011111…
…01101001110011111000111
32122021112102202100101220201
410210330233231032133013
510114312411344220234
6110452110324111331
74145303452330336
oct444745755163707
978245382311821
1020131312101319
11646170694a321
1223116bb835547
13b304b3c6c683
144d8509ab7d1d
1524d9dceca314
hex124f2fb4e7c7

20131312101319 has 2 divisors, whose sum is σ = 20131312101320. Its totient is φ = 20131312101318.

The previous prime is 20131312101317. The next prime is 20131312101413. The reversal of 20131312101319 is 91310121313102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 20131312101319 - 21 = 20131312101317 is a prime.

It is a super-2 number, since 2×201313121013192 (a number of 27 digits) contains 22 as substring.

Together with 20131312101317, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131312101317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065656050659 + 10065656050660.

It is an arithmetic number, because the mean of its divisors is an integer number (10065656050660).

Almost surely, 220131312101319 is an apocalyptic number.

20131312101319 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131312101319 is an equidigital number, since it uses as much as digits as its factorization.

20131312101319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 20131312101319 in words is "twenty trillion, one hundred thirty-one billion, three hundred twelve million, one hundred one thousand, three hundred nineteen".