1032113312057 has 2 divisors, whose sum is σ = 1032113312058. Its totient is φ = 1032113312056.

The previous prime is 1032113311991. The next prime is 1032113312059. The reversal of 1032113312057 is 7502133112301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 797441856016 + 234671456041 = 892996^2 + 484429^2 .

It is an emirp because it is prime and its reverse (7502133112301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1032113312057 - 2²⁶ = 1032046203193 is a prime.

Together with 1032113312059, 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 (1032113312059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516056656028 + 516056656029.

It is an arithmetic number, because the mean of its divisors is an integer number (516056656029).

Almost surely, 2^{1032113312057} is an apocalyptic number.

It is an amenable number.

1032113312057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032113312057 is an equidigital number, since it uses as much as digits as its factorization.

1032113312057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 1032113312057 its reverse (7502133112301), we get a palindrome (8534246424358).

The spelling of 1032113312057 in words is "one trillion, thirty-two billion, one hundred thirteen million, three hundred twelve thousand, fifty-seven".