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1288171476013 is a prime number
BaseRepresentation
bin10010101111101101000…
…000001101010000101101
311120010222212220011202011
4102233231000031100231
5132101133344213023
62423440001201221
7162032042611612
oct22575500152055
94503885804664
101288171476013
11457346241034
121897a6030211
1394621640a16
14464c2646509
152379577750d
hex12bed00d42d

1288171476013 has 2 divisors, whose sum is σ = 1288171476014. Its totient is φ = 1288171476012.

The previous prime is 1288171475993. The next prime is 1288171476037. The reversal of 1288171476013 is 3106741718821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764578857604 + 523592618409 = 874402^2 + 723597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1288171476013 is a prime.

It is a super-2 number, since 2×12881714760132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1288171476043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644085738006 + 644085738007.

It is an arithmetic number, because the mean of its divisors is an integer number (644085738007).

Almost surely, 21288171476013 is an apocalyptic number.

It is an amenable number.

1288171476013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288171476013 is an equidigital number, since it uses as much as digits as its factorization.

1288171476013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 49.

The spelling of 1288171476013 in words is "one trillion, two hundred eighty-eight billion, one hundred seventy-one million, four hundred seventy-six thousand, thirteen".