11111111010013 has 16 divisors (see below), whose sum is σ = 12821235672960. Its totient is φ = 9431778355776.

The previous prime is 11111111009963. The next prime is 11111111010059. The reversal of 11111111010013 is 31001011111111.

It is a happy number.

It is not a de Polignac number, because 11111111010013 - 2⁴¹ = 8912087754461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111111009975 and 11111111010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111171010013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045506 + ... + 5138707.

It is an arithmetic number, because the mean of its divisors is an integer number (801327229560).

Almost surely, 2^{11111111010013} is an apocalyptic number.

It is an amenable number.

11111111010013 is a deficient number, since it is larger than the sum of its proper divisors (1710124662947).

11111111010013 is a wasteful number, since it uses less digits than its factorization.

11111111010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186356.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 11111111010013 its reverse (31001011111111), we get a palindrome (42112122121124).

The spelling of 11111111010013 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, ten thousand, thirteen".