Search a number
-
+
13210121332153 is a prime number
BaseRepresentation
bin1100000000111011100010…
…0101101110010110111001
31201202212122001212011022201
43000032320211232112321
53212413312030112103
644032351305550201
72532254056430404
oct300167045562671
951685561764281
1013210121332153
114233421117609
121594262aa5361
1374a92ab67115
14339532410d3b
1517d95b48451d
hexc03b896e5b9

13210121332153 has 2 divisors, whose sum is σ = 13210121332154. Its totient is φ = 13210121332152.

The previous prime is 13210121332147. The next prime is 13210121332229. The reversal of 13210121332153 is 35123312101231.

13210121332153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10964595106089 + 2245526226064 = 3311283^2 + 1498508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13210121332153 is a prime.

It is a super-2 number, since 2×132101213321532 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13210121332253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605060666076 + 6605060666077.

It is an arithmetic number, because the mean of its divisors is an integer number (6605060666077).

Almost surely, 213210121332153 is an apocalyptic number.

It is an amenable number.

13210121332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13210121332153 is an equidigital number, since it uses as much as digits as its factorization.

13210121332153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 13210121332153 its reverse (35123312101231), we get a palindrome (48333433433384).

The spelling of 13210121332153 in words is "thirteen trillion, two hundred ten billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred fifty-three".