31111100031121 has 16 divisors (see below), whose sum is σ = 36390699843840. Its totient is φ = 26282172084480.

The previous prime is 31111100031119. The next prime is 31111100031133. The reversal of 31111100031121 is 12113000111113.

It is a cyclic number.

It is not a de Polignac number, because 31111100031121 - 2¹ = 31111100031119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31111100031095 and 31111100031104.

It is not an unprimeable number, because it can be changed into a prime (31111100031421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052956866 + ... + 1052986411.

It is an arithmetic number, because the mean of its divisors is an integer number (2274418740240).

Almost surely, 2^{31111100031121} is an apocalyptic number.

It is an amenable number.

31111100031121 is a deficient number, since it is larger than the sum of its proper divisors (5279599812719).

31111100031121 is a wasteful number, since it uses less digits than its factorization.

31111100031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105943384.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 31111100031121 its reverse (12113000111113), we get a palindrome (43224100142234).

The spelling of 31111100031121 in words is "thirty-one trillion, one hundred eleven billion, one hundred million, thirty-one thousand, one hundred twenty-one".