1023300132013 has 2 divisors, whose sum is σ = 1023300132014. Its totient is φ = 1023300132012.

The previous prime is 1023300131983. The next prime is 1023300132037. The reversal of 1023300132013 is 3102310033201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 556759222569 + 466540909444 = 746163^2 + 683038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023300132013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023300132073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511650066006 + 511650066007.

It is an arithmetic number, because the mean of its divisors is an integer number (511650066007).

Almost surely, 2^{1023300132013} is an apocalyptic number.

It is an amenable number.

1023300132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023300132013 is an equidigital number, since it uses as much as digits as its factorization.

1023300132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1023300132013 its reverse (3102310033201), we get a palindrome (4125610165214).

The spelling of 1023300132013 in words is "one trillion, twenty-three billion, three hundred million, one hundred thirty-two thousand, thirteen".