20315140100257 has 2 divisors, whose sum is σ = 20315140100258. Its totient is φ = 20315140100256.

The previous prime is 20315140100219. The next prime is 20315140100371. The reversal of 20315140100257 is 75200104151302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18928407761041 + 1386732339216 = 4350679^2 + 1177596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20315140100257 is a prime.

It is a super-2 number, since 2×20315140100257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20315140103257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10157570050128 + 10157570050129.

It is an arithmetic number, because the mean of its divisors is an integer number (10157570050129).

Almost surely, 2^{20315140100257} is an apocalyptic number.

It is an amenable number.

20315140100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20315140100257 is an equidigital number, since it uses as much as digits as its factorization.

20315140100257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 20315140100257 its reverse (75200104151302), we get a palindrome (95515244251559).

The spelling of 20315140100257 in words is "twenty trillion, three hundred fifteen billion, one hundred forty million, one hundred thousand, two hundred fifty-seven".