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133131130933 is a prime number
BaseRepresentation
bin111101111111100111…
…0111101100000110101
3110201122010201011210011
41323333032331200311
54140123032142213
6141054250100221
712422053640653
oct1737716754065
9421563634704
10133131130933
1151508064149
122197541a671
13c7287ac528
14662d287dd3
1536e2bab03d
hex1eff3bd835

133131130933 has 2 divisors, whose sum is σ = 133131130934. Its totient is φ = 133131130932.

The previous prime is 133131130919. The next prime is 133131130991. The reversal of 133131130933 is 339031131331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95652881284 + 37478249649 = 309278^2 + 193593^2 .

It is a cyclic number.

It is not a de Polignac number, because 133131130933 - 213 = 133131122741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133131130895 and 133131130904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133131230933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565565466 + 66565565467.

It is an arithmetic number, because the mean of its divisors is an integer number (66565565467).

Almost surely, 2133131130933 is an apocalyptic number.

It is an amenable number.

133131130933 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131130933 is an equidigital number, since it uses as much as digits as its factorization.

133131130933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 31.

The spelling of 133131130933 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred thirty thousand, nine hundred thirty-three".