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133123011013 is a prime number
BaseRepresentation
bin111101111111010111…
…1111111000111000101
3110201121120102122100101
41323332233333013011
54140113442323023
6141053400044101
712421624631506
oct1737657770705
9421546378311
10133123011013
1151503518573
1221972763631
13c726bc8645
14662c172bad
1536e21051ad
hex1efebff1c5

133123011013 has 2 divisors, whose sum is σ = 133123011014. Its totient is φ = 133123011012.

The previous prime is 133123010957. The next prime is 133123011061. The reversal of 133123011013 is 310110321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81365851009 + 51757160004 = 285247^2 + 227502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133123011013 is a prime.

It is a super-2 number, since 2×1331230110132 (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 (133123011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561505506 + 66561505507.

It is an arithmetic number, because the mean of its divisors is an integer number (66561505507).

Almost surely, 2133123011013 is an apocalyptic number.

It is an amenable number.

133123011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123011013 is an equidigital number, since it uses as much as digits as its factorization.

133123011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133123011013 its reverse (310110321331), we get a palindrome (443233332344).

The spelling of 133123011013 in words is "one hundred thirty-three billion, one hundred twenty-three million, eleven thousand, thirteen".