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101131120213 is a prime number
BaseRepresentation
bin101111000101111100…
…0100110111001010101
3100200001000001012110221
41132023320212321111
53124104031321323
6114243050514341
710210060224034
oct1361370467125
9320030035427
10101131120213
11399869764a2
12177247359b1
1396c8c68246
144c7538071b
15296d6bb55d
hex178be26e55

101131120213 has 2 divisors, whose sum is σ = 101131120214. Its totient is φ = 101131120212.

The previous prime is 101131120199. The next prime is 101131120271. The reversal of 101131120213 is 312021131101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83669612049 + 17461508164 = 289257^2 + 132142^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131120213 - 29 = 101131119701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101132120213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565560106 + 50565560107.

It is an arithmetic number, because the mean of its divisors is an integer number (50565560107).

Almost surely, 2101131120213 is an apocalyptic number.

It is an amenable number.

101131120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131120213 is an equidigital number, since it uses as much as digits as its factorization.

101131120213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101131120213 its reverse (312021131101), we get a palindrome (413152251314).

The spelling of 101131120213 in words is "one hundred one billion, one hundred thirty-one million, one hundred twenty thousand, two hundred thirteen".