2133103000101 has 32 divisors (see below), whose sum is σ = 2945754673920. Its totient is φ = 1372155033600.

The previous prime is 2133103000073. The next prime is 2133103000151. The reversal of 2133103000101 is 1010003013312.

It is not a de Polignac number, because 2133103000101 - 2¹³ = 2133102991909 is a prime.

It is a super-3 number, since 3×2133103000101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133103000151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86590056 + ... + 86614686.

It is an arithmetic number, because the mean of its divisors is an integer number (92054833560).

Almost surely, 2^{2133103000101} is an apocalyptic number.

It is an amenable number.

2133103000101 is a deficient number, since it is larger than the sum of its proper divisors (812651673819).

2133103000101 is a wasteful number, since it uses less digits than its factorization.

2133103000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33677.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2133103000101 its reverse (1010003013312), we get a palindrome (3143106013413).

The spelling of 2133103000101 in words is "two trillion, one hundred thirty-three billion, one hundred three million, one hundred one", and thus it is an aban number.