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13131185129 is a prime number
BaseRepresentation
bin11000011101010110…
…11111101111101001
31020220010122022121222
430032223133233221
5203343040411004
610010554511425
7643255142366
oct141653375751
936803568558
1013131185129
115629236817
122665735575
131313613a3a
148c7d5746d
1551cc167be
hex30eadfbe9

13131185129 has 2 divisors, whose sum is σ = 13131185130. Its totient is φ = 13131185128.

The previous prime is 13131185113. The next prime is 13131185147. The reversal of 13131185129 is 92158113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12366552025 + 764633104 = 111205^2 + 27652^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131185129 - 24 = 13131185113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131175129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565592564 + 6565592565.

It is an arithmetic number, because the mean of its divisors is an integer number (6565592565).

Almost surely, 213131185129 is an apocalyptic number.

It is an amenable number.

13131185129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131185129 is an equidigital number, since it uses as much as digits as its factorization.

13131185129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 35.

The spelling of 13131185129 in words is "thirteen billion, one hundred thirty-one million, one hundred eighty-five thousand, one hundred twenty-nine".