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1311034400233 is a prime number
BaseRepresentation
bin10011000100111111101…
…111010101110111101001
311122100000020112001201021
4103010333233111313221
5132434444301301413
62442140401052441
7163501440350425
oct23047757256751
94570006461637
101311034400233
11466008816428
12192106927121
13968261a784c
1447650c51b85
1524182a0c18d
hex1313fbd5de9

1311034400233 has 2 divisors, whose sum is σ = 1311034400234. Its totient is φ = 1311034400232.

The previous prime is 1311034400197. The next prime is 1311034400239. The reversal of 1311034400233 is 3320044301131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1260942588889 + 50091811344 = 1122917^2 + 223812^2 .

It is an emirp because it is prime and its reverse (3320044301131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1311034400233 - 217 = 1311034269161 is a prime.

It is a super-2 number, since 2×13110344002332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311034400198 and 1311034400207.

It is not a weakly prime, because it can be changed into another prime (1311034400239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655517200116 + 655517200117.

It is an arithmetic number, because the mean of its divisors is an integer number (655517200117).

Almost surely, 21311034400233 is an apocalyptic number.

It is an amenable number.

1311034400233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311034400233 is an equidigital number, since it uses as much as digits as its factorization.

1311034400233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1311034400233 its reverse (3320044301131), we get a palindrome (4631078701364).

The spelling of 1311034400233 in words is "one trillion, three hundred eleven billion, thirty-four million, four hundred thousand, two hundred thirty-three".