1303031007133 has 2 divisors, whose sum is σ = 1303031007134. Its totient is φ = 1303031007132.

The previous prime is 1303031007077. The next prime is 1303031007169. The reversal of 1303031007133 is 3317001303031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 840601086649 + 462429920484 = 916843^2 + 680022^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303031007133 - 2³³ = 1294441072541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1303031007098 and 1303031007107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303031007193) 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, 651515503566 + 651515503567.

It is an arithmetic number, because the mean of its divisors is an integer number (651515503567).

Almost surely, 2^{1303031007133} is an apocalyptic number.

It is an amenable number.

1303031007133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303031007133 is an equidigital number, since it uses as much as digits as its factorization.

1303031007133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

The spelling of 1303031007133 in words is "one trillion, three hundred three billion, thirty-one million, seven thousand, one hundred thirty-three".