110000131000011 has 96 divisors (see below), whose sum is σ = 187725940613120. Its totient is φ = 60738497740800.

The previous prime is 110000131000007. The next prime is 110000131000027.

110000131000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110000131000011 - 2² = 110000131000007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000130999957 and 110000131000002.

It is not an unprimeable number, because it can be changed into a prime (110000131000511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7160992971 + ... + 7161008331.

Almost surely, 2^{110000131000011} is an apocalyptic number.

110000131000011 is a deficient number, since it is larger than the sum of its proper divisors (77725809613109).

110000131000011 is a wasteful number, since it uses less digits than its factorization.

110000131000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The spelling of 110000131000011 in words is "one hundred ten trillion, one hundred thirty-one million, eleven", and thus it is an aban number.