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13132177049 is a prime number
BaseRepresentation
bin11000011101011110…
…10001111010011001
31020220012111201021202
430032233101322121
5203343314131144
610011032043545
7643266443315
oct141657217231
936805451252
1013132177049
115629853a92
122665b335b5
1313138a0384
148c8134b45
1551cd6064e
hex30ebd1e99

13132177049 has 2 divisors, whose sum is σ = 13132177050. Its totient is φ = 13132177048.

The previous prime is 13132177007. The next prime is 13132177073. The reversal of 13132177049 is 94077123131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13079353225 + 52823824 = 114365^2 + 7268^2 .

It is an emirp because it is prime and its reverse (94077123131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13132177049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13132107049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566088524 + 6566088525.

It is an arithmetic number, because the mean of its divisors is an integer number (6566088525).

Almost surely, 213132177049 is an apocalyptic number.

It is an amenable number.

13132177049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132177049 is an equidigital number, since it uses as much as digits as its factorization.

13132177049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 13132177049 in words is "thirteen billion, one hundred thirty-two million, one hundred seventy-seven thousand, forty-nine".