101114313041 has 6 divisors (see below), whose sum is σ = 117622772370. Its totient is φ = 86669411136.

The previous prime is 101114313007. The next prime is 101114313089. The reversal of 101114313041 is 140313411101.

It can be written as a sum of positive squares in only one way, i.e., 96175034641 + 4939278400 = 310121^2 + 70280^2 .

It is not a de Polignac number, because 101114313041 - 2¹⁰ = 101114312017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101114319041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1031778656 + ... + 1031778753.

It is an arithmetic number, because the mean of its divisors is an integer number (19603795395).

Almost surely, 2^101114313041 is an apocalyptic number.

It is an amenable number.

101114313041 is a deficient number, since it is larger than the sum of its proper divisors (16508459329).

101114313041 is an equidigital number, since it uses as much as digits as its factorization.

101114313041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063557423 (or 2063557416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101114313041 its reverse (140313411101), we get a palindrome (241427724142).

The spelling of 101114313041 in words is "one hundred one billion, one hundred fourteen million, three hundred thirteen thousand, forty-one".