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13132121333 is a prime number
BaseRepresentation
bin11000011101011110…
…00100010011110101
31020220012101212212012
430032233010103311
5203343310340313
610011030534005
7643266122012
oct141657042365
936805355765
1013132121333
115629816141
122665b07305
131313880bc6
148c811c709
1551cd4dda8
hex30ebc44f5

13132121333 has 2 divisors, whose sum is σ = 13132121334. Its totient is φ = 13132121332.

The previous prime is 13132121287. The next prime is 13132121351. The reversal of 13132121333 is 33312123131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7889347684 + 5242773649 = 88822^2 + 72407^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132121333 - 226 = 13065012469 is a prime.

It is a super-2 number, since 2×131321213332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132121299 and 13132121308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13132121033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566060666 + 6566060667.

It is an arithmetic number, because the mean of its divisors is an integer number (6566060667).

Almost surely, 213132121333 is an apocalyptic number.

It is an amenable number.

13132121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132121333 is an equidigital number, since it uses as much as digits as its factorization.

13132121333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 23.

Adding to 13132121333 its reverse (33312123131), we get a palindrome (46444244464).

The spelling of 13132121333 in words is "thirteen billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-three".