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10133031001 is a prime number
BaseRepresentation
bin10010110111111100…
…11100100001011001
3222011012002022100111
421123332130201121
5131223023443001
64353254004321
7506051225302
oct113376344131
928135068314
1010133031001
11432a917195
121b696466a1
13c56427742
146c1ab17a9
153e48d9851
hex25bf9c859

10133031001 has 2 divisors, whose sum is σ = 10133031002. Its totient is φ = 10133031000.

The previous prime is 10133030987. The next prime is 10133031049. The reversal of 10133031001 is 10013033101.

It is a happy number.

10133031001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8394224400 + 1738806601 = 91620^2 + 41699^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133031001 - 211 = 10133028953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133031091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066515500 + 5066515501.

It is an arithmetic number, because the mean of its divisors is an integer number (5066515501).

Almost surely, 210133031001 is an apocalyptic number.

It is an amenable number.

10133031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133031001 is an equidigital number, since it uses as much as digits as its factorization.

10133031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10133031001 its reverse (10013033101), we get a palindrome (20146064102).

The spelling of 10133031001 in words is "ten billion, one hundred thirty-three million, thirty-one thousand, one".