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13133213101 is a prime number
BaseRepresentation
bin11000011101100110…
…01110110110101101
31020220021110100111001
430032303032312231
5203344100304401
610011110200301
7643311320011
oct141663166655
936807410431
1013133213101
11562a3a1428
122666353091
131313b73b18
148c8324541
1551ceb7601
hex30eccedad

13133213101 has 2 divisors, whose sum is σ = 13133213102. Its totient is φ = 13133213100.

The previous prime is 13133213087. The next prime is 13133213173. The reversal of 13133213101 is 10131233131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11497415076 + 1635798025 = 107226^2 + 40445^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133213101 - 211 = 13133211053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133219101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566606550 + 6566606551.

It is an arithmetic number, because the mean of its divisors is an integer number (6566606551).

Almost surely, 213133213101 is an apocalyptic number.

It is an amenable number.

13133213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133213101 is an equidigital number, since it uses as much as digits as its factorization.

13133213101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13133213101 its reverse (10131233131), we get a palindrome (23264446232).

The spelling of 13133213101 in words is "thirteen billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred one".