Search a number
-
+
31131300313 is a prime number
BaseRepresentation
bin11100111111100100…
…011111000111011001
32222100121000220122201
4130333210133013121
51002224103102223
622145043450201
72151314454331
oct347744370731
988317026581
1031131300313
1112225897773
126049986961
132c21884879
1417147b40c1
15c230e3ead
hex73f91f1d9

31131300313 has 2 divisors, whose sum is σ = 31131300314. Its totient is φ = 31131300312.

The previous prime is 31131300311. The next prime is 31131300359. The reversal of 31131300313 is 31300313113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18908450064 + 12222850249 = 137508^2 + 110557^2 .

It is a cyclic number.

It is not a de Polignac number, because 31131300313 - 21 = 31131300311 is a prime.

Together with 31131300311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31131300311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565650156 + 15565650157.

It is an arithmetic number, because the mean of its divisors is an integer number (15565650157).

Almost surely, 231131300313 is an apocalyptic number.

It is an amenable number.

31131300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131300313 is an equidigital number, since it uses as much as digits as its factorization.

31131300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 31131300313 its reverse (31300313113), we get a palindrome (62431613426).

The spelling of 31131300313 in words is "thirty-one billion, one hundred thirty-one million, three hundred thousand, three hundred thirteen".