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1303039133101 is a prime number
BaseRepresentation
bin10010111101100011001…
…011110100010110101101
311121120101001000102002101
4102331203023310112231
5132322111004224401
62434335150455101
7163066344611626
oct22754313642655
94546331012071
101303039133101
11462685690942
12190655204491
1395b50930a54
14470d305aa4d
1523d65b49101
hex12f632f45ad

1303039133101 has 2 divisors, whose sum is σ = 1303039133102. Its totient is φ = 1303039133100.

The previous prime is 1303039133089. The next prime is 1303039133161. The reversal of 1303039133101 is 1013319303031.

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., 1070705493001 + 232333640100 = 1034749^2 + 482010^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303039133101 - 29 = 1303039132589 is a prime.

It is a super-3 number, since 3×13030391331013 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1303039133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303039133161) 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, 651519566550 + 651519566551.

It is an arithmetic number, because the mean of its divisors is an integer number (651519566551).

Almost surely, 21303039133101 is an apocalyptic number.

It is an amenable number.

1303039133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303039133101 is an equidigital number, since it uses as much as digits as its factorization.

1303039133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 28.

The spelling of 1303039133101 in words is "one trillion, three hundred three billion, thirty-nine million, one hundred thirty-three thousand, one hundred one".