1023123401057 has 2 divisors, whose sum is σ = 1023123401058. Its totient is φ = 1023123401056.

The previous prime is 1023123400997. The next prime is 1023123401117. The reversal of 1023123401057 is 7501043213201.

1023123401057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1023123400997) and next prime (1023123401117).

It can be written as a sum of positive squares in only one way, i.e., 809350330321 + 213773070736 = 899639^2 + 462356^2 .

It is an emirp because it is prime and its reverse (7501043213201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023123401057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023123406057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511561700528 + 511561700529.

It is an arithmetic number, because the mean of its divisors is an integer number (511561700529).

Almost surely, 2^{1023123401057} is an apocalyptic number.

It is an amenable number.

1023123401057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023123401057 is an equidigital number, since it uses as much as digits as its factorization.

1023123401057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 1023123401057 its reverse (7501043213201), we get a palindrome (8524166614258).

The spelling of 1023123401057 in words is "one trillion, twenty-three billion, one hundred twenty-three million, four hundred one thousand, fifty-seven".