2101133123131 has 12 divisors (see below), whose sum is σ = 2572816070280. Its totient is φ = 1706183287200.

The previous prime is 2101133123039. The next prime is 2101133123137. The reversal of 2101133123131 is 1313213311012.

It is not a de Polignac number, because 2101133123131 - 2⁹ = 2101133122619 is a prime.

It is a super-2 number, since 2×2101133123131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101133123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128427170 + ... + 1128429031.

It is an arithmetic number, because the mean of its divisors is an integer number (214401339190).

Almost surely, 2^{2101133123131} is an apocalyptic number.

2101133123131 is a deficient number, since it is larger than the sum of its proper divisors (471682947149).

2101133123131 is a wasteful number, since it uses less digits than its factorization.

2101133123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256856234 (or 2256856227 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2101133123131 its reverse (1313213311012), we get a palindrome (3414346434143).

The spelling of 2101133123131 in words is "two trillion, one hundred one billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred thirty-one".