10131212241 has 64 divisors (see below), whose sum is σ = 15716377600. Its totient is φ = 6444966528.

The previous prime is 10131212233. The next prime is 10131212249. The reversal of 10131212241 is 14221213101.

10131212241 is a `hidden beast` number, since 101 + 312 + 12 + 241 = 666.

10131212241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10131212233) and next prime (10131212249).

It is not a de Polignac number, because 10131212241 - 2³ = 10131212233 is a prime.

It is a super-2 number, since 2×10131212241² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131212249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10811925 + ... + 10812861.

It is an arithmetic number, because the mean of its divisors is an integer number (245568400).

Almost surely, 2^10131212241 is an apocalyptic number.

It is an amenable number.

10131212241 is a deficient number, since it is larger than the sum of its proper divisors (5585165359).

10131212241 is a wasteful number, since it uses less digits than its factorization.

10131212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131212241 its reverse (14221213101), we get a palindrome (24352425342).

The spelling of 10131212241 in words is "ten billion, one hundred thirty-one million, two hundred twelve thousand, two hundred forty-one".