31100001101101 has 16 divisors (see below), whose sum is σ = 32490710880768. Its totient is φ = 29733524654400.

The previous prime is 31100001101053. The next prime is 31100001101167. The reversal of 31100001101101 is 10110110000113.

It is not a de Polignac number, because 31100001101101 - 2²⁷ = 31099866883373 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 (31100001101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156228291 + ... + 156427231.

It is an arithmetic number, because the mean of its divisors is an integer number (2030669430048).

Almost surely, 2^{31100001101101} is an apocalyptic number.

31100001101101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31100001101101 is a deficient number, since it is larger than the sum of its proper divisors (1390709779667).

31100001101101 is a wasteful number, since it uses less digits than its factorization.

31100001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259812.

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

Adding to 31100001101101 its reverse (10110110000113), we get a palindrome (41210111101214).

The spelling of 31100001101101 in words is "thirty-one trillion, one hundred billion, one million, one hundred one thousand, one hundred one".