1303133302313 has 16 divisors (see below), whose sum is σ = 1321086412800. Its totient is φ = 1285256544000.

The previous prime is 1303133302307. The next prime is 1303133302343. The reversal of 1303133302313 is 3132033313031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1303133302313 - 2¹⁸ = 1303133040169 is a prime.

It is a super-2 number, since 2×1303133302313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303133302343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100226813 + ... + 100239813.

It is an arithmetic number, because the mean of its divisors is an integer number (82567900800).

Almost surely, 2^{1303133302313} is an apocalyptic number.

It is an amenable number.

1303133302313 is a deficient number, since it is larger than the sum of its proper divisors (17953110487).

1303133302313 is a wasteful number, since it uses less digits than its factorization.

1303133302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1303133302313 its reverse (3132033313031), we get a palindrome (4435166615344).

The spelling of 1303133302313 in words is "one trillion, three hundred three billion, one hundred thirty-three million, three hundred two thousand, three hundred thirteen".