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133037544041 is a prime number
BaseRepresentation
bin111101111100110100…
…1111101001001101001
3110201101121121110200222
41323321221331021221
54134430102402131
6141041104135425
712416536315613
oct1737151751151
9421347543628
10133037544041
115146a252a06
122194a007575
13c7122a2a7c
146620a85db3
1536d987187b
hex1ef9a7d269

133037544041 has 2 divisors, whose sum is σ = 133037544042. Its totient is φ = 133037544040.

The previous prime is 133037544007. The next prime is 133037544067. The reversal of 133037544041 is 140445730331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120756250000 + 12281294041 = 347500^2 + 110821^2 .

It is an emirp because it is prime and its reverse (140445730331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133037544041 is a prime.

It is a super-2 number, since 2×1330375440412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133037543992 and 133037544010.

It is not a weakly prime, because it can be changed into another prime (133037541041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66518772020 + 66518772021.

It is an arithmetic number, because the mean of its divisors is an integer number (66518772021).

Almost surely, 2133037544041 is an apocalyptic number.

It is an amenable number.

133037544041 is a deficient number, since it is larger than the sum of its proper divisors (1).

133037544041 is an equidigital number, since it uses as much as digits as its factorization.

133037544041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 133037544041 in words is "one hundred thirty-three billion, thirty-seven million, five hundred forty-four thousand, forty-one".