10111011000013 has 16 divisors (see below), whose sum is σ = 12608217114624. Its totient is φ = 7877284043760.

The previous prime is 10111011000001. The next prime is 10111011000059. The reversal of 10111011000013 is 31000011011101.

It is a cyclic number.

It is not a de Polignac number, because 10111011000013 - 2⁵ = 10111010999981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011000313) 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, 11453545 + ... + 12304702.

It is an arithmetic number, because the mean of its divisors is an integer number (788013569664).

Almost surely, 2^{10111011000013} is an apocalyptic number.

It is an amenable number.

10111011000013 is a deficient number, since it is larger than the sum of its proper divisors (2497206114611).

10111011000013 is a wasteful number, since it uses less digits than its factorization.

10111011000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23763792.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10111011000013 its reverse (31000011011101), we get a palindrome (41111022011114).

The spelling of 10111011000013 in words is "ten trillion, one hundred eleven billion, eleven million, thirteen", and thus it is an aban number.