Search a number
-
+
1010101233133 is a prime number
BaseRepresentation
bin11101011001011101011…
…10011010010111101101
310120120020200200020100201
432230232232122113231
5113022141403430013
62052011210553501
7132656151550216
oct16545656322755
93516220606321
101010101233133
1135a4218a3953
12143920a38891
1374337c3bb75
1436c63bdc40d
151b41d46e3dd
hexeb2eb9a5ed

1010101233133 has 2 divisors, whose sum is σ = 1010101233134. Its totient is φ = 1010101233132.

The previous prime is 1010101233103. The next prime is 1010101233221. The reversal of 1010101233133 is 3313321010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999404088804 + 10697144329 = 999702^2 + 103427^2 .

It is an emirp because it is prime and its reverse (3313321010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010101233133 is a prime.

It is a super-3 number, since 3×10101012331333 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010101233133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010101233103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050616566 + 505050616567.

It is an arithmetic number, because the mean of its divisors is an integer number (505050616567).

Almost surely, 21010101233133 is an apocalyptic number.

It is an amenable number.

1010101233133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101233133 is an equidigital number, since it uses as much as digits as its factorization.

1010101233133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1010101233133 its reverse (3313321010101), we get a palindrome (4323422243234).

The spelling of 1010101233133 in words is "one trillion, ten billion, one hundred one million, two hundred thirty-three thousand, one hundred thirty-three".