Search a number
-
+
13121021323037 is a prime number
BaseRepresentation
bin1011111011101111100111…
…0100001010011100011101
31201110100122112110201121002
42332323321310022130131
53204433322424314122
643523414115320045
72522651066024105
oct276737164123435
951410575421532
1013121021323037
1141a9659521a41
12157ab375b0025
137423cb637334
143350bcc6a205
1517b494131992
hexbeef9d0a71d

13121021323037 has 2 divisors, whose sum is σ = 13121021323038. Its totient is φ = 13121021323036.

The previous prime is 13121021323013. The next prime is 13121021323051. The reversal of 13121021323037 is 73032312012131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7005915503161 + 6115105819876 = 2646869^2 + 2472874^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121021323037 - 212 = 13121021318941 is a prime.

It is a super-2 number, since 2×131210213230372 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121021323097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560510661518 + 6560510661519.

It is an arithmetic number, because the mean of its divisors is an integer number (6560510661519).

Almost surely, 213121021323037 is an apocalyptic number.

It is an amenable number.

13121021323037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121021323037 is an equidigital number, since it uses as much as digits as its factorization.

13121021323037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 13121021323037 its reverse (73032312012131), we get a palindrome (86153333335168).

The spelling of 13121021323037 in words is "thirteen trillion, one hundred twenty-one billion, twenty-one million, three hundred twenty-three thousand, thirty-seven".