31412414121 has 16 divisors (see below), whose sum is σ = 45696246528. Its totient is φ = 19035550800.

The previous prime is 31412414093. The next prime is 31412414153. The reversal of 31412414121 is 12141421413.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-31412414121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31412414091 and 31412414100.

It is not an unprimeable number, because it can be changed into a prime (31412414191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247650 + ... + 352356.

It is an arithmetic number, because the mean of its divisors is an integer number (2856015408).

Almost surely, 2^31412414121 is an apocalyptic number.

It is an amenable number.

31412414121 is a deficient number, since it is larger than the sum of its proper divisors (14283832407).

31412414121 is a wasteful number, since it uses less digits than its factorization.

31412414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113812.

The product of its digits is 768, while the sum is 24.

Adding to 31412414121 its reverse (12141421413), we get a palindrome (43553835534).

The spelling of 31412414121 in words is "thirty-one billion, four hundred twelve million, four hundred fourteen thousand, one hundred twenty-one".