31144644113 has 24 divisors (see below), whose sum is σ = 36606223080. Its totient is φ = 26383808000.

The previous prime is 31144644073. The next prime is 31144644133.

31144644113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11030880784 + 20113763329 = 105028^2 + 141823^2 .

It is not a de Polignac number, because 31144644113 - 2⁶ = 31144644049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31144644113.

It is not an unprimeable number, because it can be changed into a prime (31144644133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132803 + ... + 282711.

It is an arithmetic number, because the mean of its divisors is an integer number (1525259295).

Almost surely, 2^31144644113 is an apocalyptic number.

It is an amenable number.

31144644113 is a deficient number, since it is larger than the sum of its proper divisors (5461578967).

31144644113 is a wasteful number, since it uses less digits than its factorization.

31144644113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150049 (or 150038 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 31144644113 in words is "thirty-one billion, one hundred forty-four million, six hundred forty-four thousand, one hundred thirteen".