3414121103133 has 48 divisors (see below), whose sum is σ = 5319928373760. Its totient is φ = 2097410112000.

The previous prime is 3414121103123. The next prime is 3414121103161. The reversal of 3414121103133 is 3313011214143.

3414121103133 is a `hidden beast` number, since 3 + 4 + 1 + 412 + 110 + 3 + 133 = 666.

It is not a de Polignac number, because 3414121103133 - 2⁵ = 3414121103101 is a prime.

It is a super-3 number, since 3×3414121103133³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414121103097 and 3414121103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414121103123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464439408 + ... + 464446758.

It is an arithmetic number, because the mean of its divisors is an integer number (110831841120).

Almost surely, 2^{3414121103133} is an apocalyptic number.

It is an amenable number.

3414121103133 is a deficient number, since it is larger than the sum of its proper divisors (1905807270627).

3414121103133 is a wasteful number, since it uses less digits than its factorization.

3414121103133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13610 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3414121103133 its reverse (3313011214143), we get a palindrome (6727132317276).

The spelling of 3414121103133 in words is "three trillion, four hundred fourteen billion, one hundred twenty-one million, one hundred three thousand, one hundred thirty-three".