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100100000131 is a prime number
BaseRepresentation
bin101110100111001101…
…1001100100110000011
3100120101010210212122021
41131032123030212003
53120001100001011
6113552454222311
710142366651035
oct1351633144603
9316333725567
10100100000131
11394a792773a
1217497354997
139593453311
144bb8451c55
15290cdde471
hex174e6cc983

100100000131 has 2 divisors, whose sum is σ = 100100000132. Its totient is φ = 100100000130.

The previous prime is 100100000129. The next prime is 100100000213. The reversal of 100100000131 is 131000001001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100000131 - 21 = 100100000129 is a prime.

It is a super-2 number, since 2×1001000001312 (a number of 23 digits) contains 22 as substring.

Together with 100100000129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100100000531) 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, 50050000065 + 50050000066.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000066).

Almost surely, 2100100000131 is an apocalyptic number.

100100000131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000131 is an equidigital number, since it uses as much as digits as its factorization.

100100000131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100100000131 its reverse (131000001001), we get a palindrome (231100001132).

The spelling of 100100000131 in words is "one hundred billion, one hundred million, one hundred thirty-one", and thus it is an aban number.