Search a number
-
+
1033133131 is a prime number
BaseRepresentation
bin111101100101000…
…101110001001011
32200000000121020001
4331211011301023
54103440230011
6250303343431
734413325642
oct7545056113
92600017201
101033133131
114901a4238
12249bb1b77
1313606b2a4
149b2d4359
1560a787c1
hex3d945c4b

1033133131 has 2 divisors, whose sum is σ = 1033133132. Its totient is φ = 1033133130.

The previous prime is 1033133117. The next prime is 1033133173. The reversal of 1033133131 is 1313313301.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1033133131 - 211 = 1033131083 is a prime.

It is a super-2 number, since 2×10331331312 = 2134728132739726322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033133099 and 1033133108.

It is not a weakly prime, because it can be changed into another prime (1033133191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516566565 + 516566566.

It is an arithmetic number, because the mean of its divisors is an integer number (516566566).

Almost surely, 21033133131 is an apocalyptic number.

1033133131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033133131 is an equidigital number, since it uses as much as digits as its factorization.

1033133131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1033133131 is about 32142.3883835660. The cubic root of 1033133131 is about 1010.9245956057.

Adding to 1033133131 its reverse (1313313301), we get a palindrome (2346446432).

The spelling of 1033133131 in words is "one billion, thirty-three million, one hundred thirty-three thousand, one hundred thirty-one".