Search a number
-
+
1033301132131 is a prime number
BaseRepresentation
bin11110000100101011000…
…11000000001101100011
310122210010112101012211011
433002111203000031203
5113412200042212011
62110405245201351
7134440110463552
oct17022543001543
93583115335734
101033301132131
113692476073a4
12148316560257
137659454b358
1438025083d99
151bd2a0b8621
hexf0958c0363

1033301132131 has 2 divisors, whose sum is σ = 1033301132132. Its totient is φ = 1033301132130.

The previous prime is 1033301132113. The next prime is 1033301132153. The reversal of 1033301132131 is 1312311033301.

Together with previous prime (1033301132113) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (1033301132153) can be obtained adding 1033301132131 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1033301132131 - 221 = 1033299034979 is a prime.

It is a super-2 number, since 2×10333011321312 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1033301132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516650566065 + 516650566066.

It is an arithmetic number, because the mean of its divisors is an integer number (516650566066).

Almost surely, 21033301132131 is an apocalyptic number.

1033301132131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033301132131 is an equidigital number, since it uses as much as digits as its factorization.

1033301132131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1033301132131 its reverse (1312311033301), we get a palindrome (2345612165432).

The spelling of 1033301132131 in words is "one trillion, thirty-three billion, three hundred one million, one hundred thirty-two thousand, one hundred thirty-one".