10113344241 has 64 divisors (see below), whose sum is σ = 18689212416. Its totient is φ = 4693075200.

The previous prime is 10113344207. The next prime is 10113344309. The reversal of 10113344241 is 14244331101.

It is not a de Polignac number, because 10113344241 - 2¹⁷ = 10113213169 is a prime.

It is a super-4 number, since 4×10113344241⁴ (a number of 41 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10113344041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38775 + ... + 147411.

It is an arithmetic number, because the mean of its divisors is an integer number (292018944).

Almost surely, 2^10113344241 is an apocalyptic number.

10113344241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10113344241 is a deficient number, since it is larger than the sum of its proper divisors (8575868175).

10113344241 is a wasteful number, since it uses less digits than its factorization.

10113344241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108702.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10113344241 its reverse (14244331101), we get a palindrome (24357675342).

The spelling of 10113344241 in words is "ten billion, one hundred thirteen million, three hundred forty-four thousand, two hundred forty-one".