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131133311119 is a prime number
BaseRepresentation
bin111101000100000100…
…1111000100010001111
3110112110220110102012201
41322020021320202033
54122030111423434
6140124121542331
712321414516256
oct1721011704217
9415426412181
10131133311119
1150682376598
12214b83449a7
13c49a919625
1464bdbd979d
1536275c9614
hex1e8827888f

131133311119 has 2 divisors, whose sum is σ = 131133311120. Its totient is φ = 131133311118.

The previous prime is 131133311093. The next prime is 131133311131. The reversal of 131133311119 is 911113331131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131133311119 is a prime.

It is a super-2 number, since 2×1311333111192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131133311219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566655559 + 65566655560.

It is an arithmetic number, because the mean of its divisors is an integer number (65566655560).

Almost surely, 2131133311119 is an apocalyptic number.

131133311119 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133311119 is an equidigital number, since it uses as much as digits as its factorization.

131133311119 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 28.

The spelling of 131133311119 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred eleven thousand, one hundred nineteen".