1031023101001 has 2 divisors, whose sum is σ = 1031023101002. Its totient is φ = 1031023101000.

The previous prime is 1031023100999. The next prime is 1031023101061. The reversal of 1031023101001 is 1001013201301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1030582310976 + 440790025 = 1015176^2 + 20995^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031023101001 - 2¹ = 1031023100999 is a prime.

Together with 1031023100999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1031023101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515511550500 + 515511550501.

It is an arithmetic number, because the mean of its divisors is an integer number (515511550501).

Almost surely, 2^{1031023101001} is an apocalyptic number.

It is an amenable number.

1031023101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031023101001 is an equidigital number, since it uses as much as digits as its factorization.

1031023101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1031023101001 its reverse (1001013201301), we get a palindrome (2032036302302).

The spelling of 1031023101001 in words is "one trillion, thirty-one billion, twenty-three million, one hundred one thousand, one".