31144233244113 has 12 divisors (see below), whose sum is σ = 49075761475728. Its totient is φ = 18875292875160.

The previous prime is 31144233244081. The next prime is 31144233244147.

31144233244113 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 4 + 233 + 2 + 4 + 411 + 3 = 666.

31144233244113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31144233244113 - 2⁵ = 31144233244081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144233245113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157294107195 + ... + 157294107392.

It is an arithmetic number, because the mean of its divisors is an integer number (4089646789644).

Almost surely, 2^{31144233244113} is an apocalyptic number.

31144233244113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31144233244113 is a deficient number, since it is larger than the sum of its proper divisors (17931528231615).

31144233244113 is a wasteful number, since it uses less digits than its factorization.

31144233244113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314588214604 (or 314588214601 counting only the distinct ones).

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

It can be divided in two parts, 3114423 and 3244113, that added together give a palindrome (6358536).

The spelling of 31144233244113 in words is "thirty-one trillion, one hundred forty-four billion, two hundred thirty-three million, two hundred forty-four thousand, one hundred thirteen".