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1313129761 is a prime number
BaseRepresentation
bin100111001000100…
…1100010100100001
310101111212220101121
41032101030110201
510142130123021
6334144532241
744353263436
oct11621142441
93344786347
101313129761
11614255909
12307921081
1317c084278
14c657bb8d
157a435741
hex4e44c521

1313129761 has 2 divisors, whose sum is σ = 1313129762. Its totient is φ = 1313129760.

The previous prime is 1313129723. The next prime is 1313129809. The reversal of 1313129761 is 1679213131.

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., 1291683600 + 21446161 = 35940^2 + 4631^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313129761 - 213 = 1313121569 is a prime.

It is a super-3 number, since 3×13131297613 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1313129561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656564880 + 656564881.

It is an arithmetic number, because the mean of its divisors is an integer number (656564881).

Almost surely, 21313129761 is an apocalyptic number.

It is an amenable number.

1313129761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313129761 is an equidigital number, since it uses as much as digits as its factorization.

1313129761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 34.

The square root of 1313129761 is about 36237.1323506704. The cubic root of 1313129761 is about 1095.0548712799.

The spelling of 1313129761 in words is "one billion, three hundred thirteen million, one hundred twenty-nine thousand, seven hundred sixty-one".