1020013100241 has 32 divisors (see below), whose sum is σ = 1386980136960. Its totient is φ = 666630670464.

The previous prime is 1020013100231. The next prime is 1020013100261. The reversal of 1020013100241 is 1420013100201.

It is not a de Polignac number, because 1020013100241 - 2¹¹ = 1020013098193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020013100241.

It is not an unprimeable number, because it can be changed into a prime (1020013100201) 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 in 31 ways as a sum of consecutive naturals, for example, 54598140 + ... + 54616818.

It is an arithmetic number, because the mean of its divisors is an integer number (43343129280).

Almost surely, 2^{1020013100241} is an apocalyptic number.

It is an amenable number.

1020013100241 is a deficient number, since it is larger than the sum of its proper divisors (366967036719).

1020013100241 is a wasteful number, since it uses less digits than its factorization.

1020013100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020013100241 its reverse (1420013100201), we get a palindrome (2440026200442).

The spelling of 1020013100241 in words is "one trillion, twenty billion, thirteen million, one hundred thousand, two hundred forty-one".