Search a number
-
+
13213120101149 is a prime number
BaseRepresentation
bin1100000001000110101101…
…0101000111101100011101
31201210011101001120102001002
43000101223111013230131
53212440432221214044
644034005032000045
72532421301515223
oct300215325075435
951704331512032
1013213120101149
11423471a9170a1
12159495b230025
1374acb820a247
143397387b6b13
1517da8488374e
hexc046b547b1d

13213120101149 has 2 divisors, whose sum is σ = 13213120101150. Its totient is φ = 13213120101148.

The previous prime is 13213120101127. The next prime is 13213120101161. The reversal of 13213120101149 is 94110102131231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12833460793924 + 379659307225 = 3582382^2 + 616165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13213120101149 is a prime.

It is a super-2 number, since 2×132131201011492 (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 (13213120101119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606560050574 + 6606560050575.

It is an arithmetic number, because the mean of its divisors is an integer number (6606560050575).

Almost surely, 213213120101149 is an apocalyptic number.

It is an amenable number.

13213120101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213120101149 is an equidigital number, since it uses as much as digits as its factorization.

13213120101149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 13213120101149 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty million, one hundred one thousand, one hundred forty-nine".