1001310105025 has 12 divisors (see below), whose sum is σ = 1241679527424. Its totient is φ = 801012602000.

The previous prime is 1001310105001. The next prime is 1001310105097. The reversal of 1001310105025 is 5205010131001.

It is not a de Polignac number, because 1001310105025 - 2²⁹ = 1000773234113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001310104993 and 1001310105011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303841 + ... + 1447390.

It is an arithmetic number, because the mean of its divisors is an integer number (103473293952).

Almost surely, 2^{1001310105025} is an apocalyptic number.

It is an amenable number.

1001310105025 is a deficient number, since it is larger than the sum of its proper divisors (240369422399).

1001310105025 is a wasteful number, since it uses less digits than its factorization.

1001310105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774112 (or 1774107 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1001310105025 its reverse (5205010131001), we get a palindrome (6206320236026).

The spelling of 1001310105025 in words is "one trillion, one billion, three hundred ten million, one hundred five thousand, twenty-five".