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131213101 is a prime number
BaseRepresentation
bin1111101001000…
…10011100101101
3100010220022112111
413310202130231
5232042304401
621004204021
73152202325
oct764423455
9303808474
10131213101
1168080388
1237b39611
13212519b6
14135d8285
15b7bce51
hex7d2272d

131213101 has 2 divisors, whose sum is σ = 131213102. Its totient is φ = 131213100.

The previous prime is 131213087. The next prime is 131213129. The reversal of 131213101 is 101312131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117744201 + 13468900 = 10851^2 + 3670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131213101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131213171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65606550 + 65606551.

It is an arithmetic number, because the mean of its divisors is an integer number (65606551).

Almost surely, 2131213101 is an apocalyptic number.

It is an amenable number.

131213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131213101 is an equidigital number, since it uses as much as digits as its factorization.

131213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131213101 is about 11454.8287198020. The cubic root of 131213101 is about 508.1505498052.

Adding to 131213101 its reverse (101312131), we get a palindrome (232525232).

The spelling of 131213101 in words is "one hundred thirty-one million, two hundred thirteen thousand, one hundred one".