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1311133001 is a prime number
BaseRepresentation
bin100111000100110…
…0100110101001001
310101101010110100112
41032021210311021
510141122224001
6334034044105
744330306123
oct11611446511
93341113315
101311133001
116131116a2
12307119635
1317b835459
14c61bc213
157a18dcbb
hex4e264d49

1311133001 has 2 divisors, whose sum is σ = 1311133002. Its totient is φ = 1311133000.

The previous prime is 1311132997. The next prime is 1311133013. The reversal of 1311133001 is 1003311131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915123001 + 396010000 = 30251^2 + 19900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311133001 - 22 = 1311132997 is a prime.

It is a super-2 number, since 2×13111330012 = 3438139492622532002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1311133051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655566500 + 655566501.

It is an arithmetic number, because the mean of its divisors is an integer number (655566501).

Almost surely, 21311133001 is an apocalyptic number.

It is an amenable number.

1311133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311133001 is an equidigital number, since it uses as much as digits as its factorization.

1311133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1311133001 is about 36209.5705718806. The cubic root of 1311133001 is about 1094.4995387529.

Adding to 1311133001 its reverse (1003311131), we get a palindrome (2314444132).

The spelling of 1311133001 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, one".