3420201242133 has 56 divisors (see below), whose sum is σ = 5671669222968. Its totient is φ = 2047854172032.

The previous prime is 3420201242041. The next prime is 3420201242141. The reversal of 3420201242133 is 3312421020243.

3420201242133 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 201 + 2 + 421 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 547064371044 + 2873136871089 = 739638^2 + 1695033^2 .

It is not a de Polignac number, because 3420201242133 - 2¹⁰ = 3420201241109 is a prime.

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 = 3420201242097 and 3420201242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420201242173) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4526310 + ... + 5227607.

It is an arithmetic number, because the mean of its divisors is an integer number (101279807553).

Almost surely, 2^{3420201242133} is an apocalyptic number.

It is an amenable number.

3420201242133 is a deficient number, since it is larger than the sum of its proper divisors (2251467980835).

3420201242133 is an equidigital number, since it uses as much as digits as its factorization.

3420201242133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753985 (or 9753970 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3420201242133 its reverse (3312421020243), we get a palindrome (6732622262376).

The spelling of 3420201242133 in words is "three trillion, four hundred twenty billion, two hundred one million, two hundred forty-two thousand, one hundred thirty-three".