1023413303441 has 2 divisors, whose sum is σ = 1023413303442. Its totient is φ = 1023413303440.

The previous prime is 1023413303431. The next prime is 1023413303443. The reversal of 1023413303441 is 1443033143201.

It is a happy number.

1023413303441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 855493655041 + 167919648400 = 924929^2 + 409780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023413303441 is a prime.

Together with 1023413303443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1023413303443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511706651720 + 511706651721.

It is an arithmetic number, because the mean of its divisors is an integer number (511706651721).

Almost surely, 2^{1023413303441} is an apocalyptic number.

It is an amenable number.

1023413303441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023413303441 is an equidigital number, since it uses as much as digits as its factorization.

1023413303441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1023413303441 its reverse (1443033143201), we get a palindrome (2466446446642).

The spelling of 1023413303441 in words is "one trillion, twenty-three billion, four hundred thirteen million, three hundred three thousand, four hundred forty-one".