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131133100291 is a prime number
BaseRepresentation
bin111101000100000100…
…1000101000100000011
3110112110220001201000021
41322020021011010003
54122030033202131
6140124113234311
712321412650514
oct1721011050403
9415426051007
10131133100291
1150682242156
12214b8262997
13c49a87468b
1464bdb82a0b
153627586e11
hex1e88245103

131133100291 has 2 divisors, whose sum is σ = 131133100292. Its totient is φ = 131133100290.

The previous prime is 131133100253. The next prime is 131133100321. The reversal of 131133100291 is 192001331131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131133100291 is a prime.

It is not a weakly prime, because it can be changed into another prime (131133100591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566550145 + 65566550146.

It is an arithmetic number, because the mean of its divisors is an integer number (65566550146).

Almost surely, 2131133100291 is an apocalyptic number.

131133100291 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133100291 is an equidigital number, since it uses as much as digits as its factorization.

131133100291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 131133100291 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, two hundred ninety-one".