10011101513441 has 16 divisors (see below), whose sum is σ = 11472560910720. Its totient is φ = 8557474899840.

The previous prime is 10011101513431. The next prime is 10011101513443. The reversal of 10011101513441 is 14431510111001.

It is a cyclic number.

It is not a de Polignac number, because 10011101513441 - 2³⁸ = 9736223606497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011101513443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16394885 + ... + 16994541.

It is an arithmetic number, because the mean of its divisors is an integer number (717035056920).

Almost surely, 2^{10011101513441} is an apocalyptic number.

It is an amenable number.

10011101513441 is a deficient number, since it is larger than the sum of its proper divisors (1461459397279).

10011101513441 is an equidigital number, since it uses as much as digits as its factorization.

10011101513441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606184.

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 10011101513441 its reverse (14431510111001), we get a palindrome (24442611624442).

The spelling of 10011101513441 in words is "ten trillion, eleven billion, one hundred one million, five hundred thirteen thousand, four hundred forty-one".