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101401213 is a prime number
BaseRepresentation
bin1100000101101…
…00001001111101
321001210201022111
412002310021331
5201424314323
614021214021
72340616234
oct602641175
9231721274
10101401213
1152269261
1229b61311
1318014524
14d677b1b
158d7ec0d
hex60b427d

101401213 has 2 divisors, whose sum is σ = 101401214. Its totient is φ = 101401212.

The previous prime is 101401199. The next prime is 101401229. The reversal of 101401213 is 312104101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62125924 + 39275289 = 7882^2 + 6267^2 .

It is an emirp because it is prime and its reverse (312104101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101401213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101401193 and 101401202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101401813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50700606 + 50700607.

It is an arithmetic number, because the mean of its divisors is an integer number (50700607).

Almost surely, 2101401213 is an apocalyptic number.

It is an amenable number.

101401213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101401213 is an equidigital number, since it uses as much as digits as its factorization.

101401213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101401213 is about 10069.8169298156. The cubic root of 101401213 is about 466.3167871226.

Adding to 101401213 its reverse (312104101), we get a palindrome (413505314).

The spelling of 101401213 in words is "one hundred one million, four hundred one thousand, two hundred thirteen".