31123444432113 has 48 divisors (see below), whose sum is σ = 50752582957440. Its totient is φ = 18205635840000.

The previous prime is 31123444432097. The next prime is 31123444432181.

31123444432113 is a `hidden beast` number, since 31 + 12 + 34 + 44 + 432 + 113 = 666.

31123444432113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31123444432113 - 2⁴ = 31123444432097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31123444432013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5934988 + ... + 9872738.

It is an arithmetic number, because the mean of its divisors is an integer number (1057345478280).

Almost surely, 2^{31123444432113} is an apocalyptic number.

31123444432113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31123444432113 is a deficient number, since it is larger than the sum of its proper divisors (19629138525327).

31123444432113 is a wasteful number, since it uses less digits than its factorization.

31123444432113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940550 (or 3940547 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3112344 and 4432113, that added together give a palindrome (7544457).

The spelling of 31123444432113 in words is "thirty-one trillion, one hundred twenty-three billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred thirteen".