Search a number
-
+
13031211001213 is a prime number
BaseRepresentation
bin1011110110100001000010…
…1100111110010101111101
31201010202211111111200000101
42331220100230332111331
53202000410004014323
643414242232401101
72513321361625126
oct275502054762575
951122744450011
1013031211001213
114174561983979
121565652246191
13736ab7bc7182
143309dd22504d
15178e89770dad
hexbda10b3e57d

13031211001213 has 2 divisors, whose sum is σ = 13031211001214. Its totient is φ = 13031211001212.

The previous prime is 13031211001147. The next prime is 13031211001273. The reversal of 13031211001213 is 31210011213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11555770786884 + 1475440214329 = 3399378^2 + 1214677^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031211001213 - 29 = 13031211000701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13031211001273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515605500606 + 6515605500607.

It is an arithmetic number, because the mean of its divisors is an integer number (6515605500607).

Almost surely, 213031211001213 is an apocalyptic number.

It is an amenable number.

13031211001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031211001213 is an equidigital number, since it uses as much as digits as its factorization.

13031211001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13031211001213 its reverse (31210011213031), we get a palindrome (44241222214244).

The spelling of 13031211001213 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, one thousand, two hundred thirteen".