1031013020201 has 2 divisors, whose sum is σ = 1031013020202. Its totient is φ = 1031013020200.

The previous prime is 1031013020197. The next prime is 1031013020203. The reversal of 1031013020201 is 1020203101301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 837215850025 + 193797170176 = 914995^2 + 440224^2 .

It is an emirp because it is prime and its reverse (1020203101301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031013020201 - 2² = 1031013020197 is a prime.

Together with 1031013020203, 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 (1031013020203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515506510100 + 515506510101.

It is an arithmetic number, because the mean of its divisors is an integer number (515506510101).

Almost surely, 2^{1031013020201} is an apocalyptic number.

It is an amenable number.

1031013020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031013020201 is an equidigital number, since it uses as much as digits as its factorization.

1031013020201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031013020201 its reverse (1020203101301), we get a palindrome (2051216121502).

The spelling of 1031013020201 in words is "one trillion, thirty-one billion, thirteen million, twenty thousand, two hundred one".