231111100000001 has 16 divisors (see below), whose sum is σ = 254980399815120. Its totient is φ = 208112877434880.

The previous prime is 231111099999953. The next prime is 231111100000013. The reversal of 231111100000001 is 100000001111132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 721930612225 + 230389169387776 = 849665^2 + 15178576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-231111100000001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (231111100000021) 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, 11450120 + ... + 24358313.

It is an arithmetic number, because the mean of its divisors is an integer number (15936274988445).

Almost surely, 2^{231111100000001} is an apocalyptic number.

It is an amenable number.

231111100000001 is a deficient number, since it is larger than the sum of its proper divisors (23869299815119).

231111100000001 is a wasteful number, since it uses less digits than its factorization.

231111100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35820596.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 231111100000001 its reverse (100000001111132), we get a palindrome (331111101111133).

The spelling of 231111100000001 in words is "two hundred thirty-one trillion, one hundred eleven billion, one hundred million, one", and thus it is an aban number.