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1311133203101 is a prime number
BaseRepresentation
bin10011000101000101101…
…000001111101010011101
311122100021010102202202202
4103011011220033222131
5132440200044444401
62442154250501245
7163504050225431
oct23050550175235
94570233382682
101311133203101
1146605956a497
12192133a34825
13968407bc497
14476600109c1
152418b52706b
hex13145a0fa9d

1311133203101 has 2 divisors, whose sum is σ = 1311133203102. Its totient is φ = 1311133203100.

The previous prime is 1311133202947. The next prime is 1311133203109. The reversal of 1311133203101 is 1013023311131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913916880100 + 397216323001 = 955990^2 + 630251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311133203101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311133203109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655566601550 + 655566601551.

It is an arithmetic number, because the mean of its divisors is an integer number (655566601551).

Almost surely, 21311133203101 is an apocalyptic number.

It is an amenable number.

1311133203101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311133203101 is an equidigital number, since it uses as much as digits as its factorization.

1311133203101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1311133203101 its reverse (1013023311131), we get a palindrome (2324156514232).

The spelling of 1311133203101 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, two hundred three thousand, one hundred one".