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123101311153 is a prime number
BaseRepresentation
bin111001010100101101…
…0001111000010110001
3102202202010211112121111
41302221122033002301
54004102413424103
6132315120153321
711615364610612
oct1625132170261
9382663745544
10123101311153
1148230532097
121ba36468841
13b7ba881122
145d5b1a1c09
1533073ac86d
hex1ca968f0b1

123101311153 has 2 divisors, whose sum is σ = 123101311154. Its totient is φ = 123101311152.

The previous prime is 123101311079. The next prime is 123101311169. The reversal of 123101311153 is 351113101321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107120053264 + 15981257889 = 327292^2 + 126417^2 .

It is a cyclic number.

It is not a de Polignac number, because 123101311153 - 29 = 123101310641 is a prime.

It is not a weakly prime, because it can be changed into another prime (123101311453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61550655576 + 61550655577.

It is an arithmetic number, because the mean of its divisors is an integer number (61550655577).

Almost surely, 2123101311153 is an apocalyptic number.

It is an amenable number.

123101311153 is a deficient number, since it is larger than the sum of its proper divisors (1).

123101311153 is an equidigital number, since it uses as much as digits as its factorization.

123101311153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 123101311153 its reverse (351113101321), we get a palindrome (474214412474).

The spelling of 123101311153 in words is "one hundred twenty-three billion, one hundred one million, three hundred eleven thousand, one hundred fifty-three".