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1101111213131 is a prime number
BaseRepresentation
bin10000000001011111010…
…101111011110001001011
310220021011100000020120122
4100001133111323301023
5121020033432310011
62201502110413455
7142360363611656
oct20013725736113
93807140006518
101101111213131
11394a84634956
1215949bb0128b
137cab0083a37
143b418cc489d
151d9982ee3db
hex1005f57bc4b

1101111213131 has 2 divisors, whose sum is σ = 1101111213132. Its totient is φ = 1101111213130.

The previous prime is 1101111213109. The next prime is 1101111213289. The reversal of 1101111213131 is 1313121111011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1101111213131 is a prime.

It is a super-4 number, since 4×11011112131314 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not a weakly prime, because it can be changed into another prime (1101111216131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550555606565 + 550555606566.

It is an arithmetic number, because the mean of its divisors is an integer number (550555606566).

Almost surely, 21101111213131 is an apocalyptic number.

1101111213131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101111213131 is an equidigital number, since it uses as much as digits as its factorization.

1101111213131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 1101111213131 its reverse (1313121111011), we get a palindrome (2414232324142).

The spelling of 1101111213131 in words is "one trillion, one hundred one billion, one hundred eleven million, two hundred thirteen thousand, one hundred thirty-one".