121314104433 has 40 divisors (see below), whose sum is σ = 182432764800. Its totient is φ = 80336865312.

The previous prime is 121314104381. The next prime is 121314104437. The reversal of 121314104433 is 334401413121.

121314104433 is a `hidden beast` number, since 1 + 213 + 1 + 4 + 1 + 0 + 443 + 3 = 666.

It is not a de Polignac number, because 121314104433 - 2⁶ = 121314104369 is a prime.

It is a super-2 number, since 2×121314104433² (a number of 23 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 = 121314104397 and 121314104406.

It is not an unprimeable number, because it can be changed into a prime (121314104437) 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 39 ways as a sum of consecutive naturals, for example, 15060435 + ... + 15068487.

It is an arithmetic number, because the mean of its divisors is an integer number (4560819120).

Almost surely, 2^121314104433 is an apocalyptic number.

It is an amenable number.

121314104433 is a deficient number, since it is larger than the sum of its proper divisors (61118660367).

121314104433 is a wasteful number, since it uses less digits than its factorization.

121314104433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9274 counting only the distinct ones).

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

Adding to 121314104433 its reverse (334401413121), we get a palindrome (455715517554).

The spelling of 121314104433 in words is "one hundred twenty-one billion, three hundred fourteen million, one hundred four thousand, four hundred thirty-three".