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131001034133 is a prime number
BaseRepresentation
bin111101000000001000…
…1010010010110010101
3110112010200120001022002
41322000101102112111
54121242231043013
6140103034445045
712315220263134
oct1720021222625
9415120501262
10131001034133
1150614739972
122147bb93785
13c4793b4618
1464aa40591b
15361ab9b358
hex1e80452595

131001034133 has 2 divisors, whose sum is σ = 131001034134. Its totient is φ = 131001034132.

The previous prime is 131001034121. The next prime is 131001034163. The reversal of 131001034133 is 331430100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92499923044 + 38501111089 = 304138^2 + 196217^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001034133 - 222 = 130996839829 is a prime.

It is a super-2 number, since 2×1310010341332 (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 (131001034163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500517066 + 65500517067.

It is an arithmetic number, because the mean of its divisors is an integer number (65500517067).

Almost surely, 2131001034133 is an apocalyptic number.

It is an amenable number.

131001034133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001034133 is an equidigital number, since it uses as much as digits as its factorization.

131001034133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131001034133 its reverse (331430100131), we get a palindrome (462431134264).

The spelling of 131001034133 in words is "one hundred thirty-one billion, one million, thirty-four thousand, one hundred thirty-three".