31000121414433 has 64 divisors (see below), whose sum is σ = 47232470880000. Its totient is φ = 20080441562112.

The previous prime is 31000121414387. The next prime is 31000121414443. The reversal of 31000121414433 is 33441412100013.

31000121414433 is a `hidden beast` number, since 3 + 1 + 0 + 0 + 0 + 1 + 214 + 1 + 443 + 3 = 666.

It is not a de Polignac number, because 31000121414433 - 2²⁰ = 31000120365857 is a prime.

It is a super-2 number, since 2×31000121414433² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31000121414397 and 31000121414406.

It is not an unprimeable number, because it can be changed into a prime (31000121414443) 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, 4976738163 + ... + 4976744391.

It is an arithmetic number, because the mean of its divisors is an integer number (738007357500).

Almost surely, 2^{31000121414433} is an apocalyptic number.

It is an amenable number.

31000121414433 is a deficient number, since it is larger than the sum of its proper divisors (16232349465567).

31000121414433 is a wasteful number, since it uses less digits than its factorization.

31000121414433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31000121414433 its reverse (33441412100013), we get a palindrome (64441533514446).

The spelling of 31000121414433 in words is "thirty-one trillion, one hundred twenty-one million, four hundred fourteen thousand, four hundred thirty-three".