31414413121 has 64 divisors (see below), whose sum is σ = 40389099520. Its totient is φ = 23775897600.

The previous prime is 31414413089. The next prime is 31414413193. The reversal of 31414413121 is 12131441413.

It is not a de Polignac number, because 31414413121 - 2⁵ = 31414413089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31414413221) 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 63 ways as a sum of consecutive naturals, for example, 46677841 + ... + 46678513.

It is an arithmetic number, because the mean of its divisors is an integer number (631079680).

Almost surely, 2^31414413121 is an apocalyptic number.

It is an amenable number.

31414413121 is a deficient number, since it is larger than the sum of its proper divisors (8974686399).

31414413121 is a wasteful number, since it uses less digits than its factorization.

31414413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966.

The product of its digits is 1152, while the sum is 25.

Adding to 31414413121 its reverse (12131441413), we get a palindrome (43545854534).

The spelling of 31414413121 in words is "thirty-one billion, four hundred fourteen million, four hundred thirteen thousand, one hundred twenty-one".