101133122131 has 8 divisors (see below), whose sum is σ = 104642334720. Its totient is φ = 97625367168.

The previous prime is 101133122117. The next prime is 101133122161. The reversal of 101133122131 is 131221331101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101133122131 - 2⁹ = 101133121619 is a prime.

It is a super-2 number, since 2×101133122131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101133122099 and 101133122108.

It is not an unprimeable number, because it can be changed into a prime (101133122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222291 + ... + 501676.

It is an arithmetic number, because the mean of its divisors is an integer number (13080291840).

Almost surely, 2^101133122131 is an apocalyptic number.

101133122131 is a deficient number, since it is larger than the sum of its proper divisors (3509212589).

101133122131 is an equidigital number, since it uses as much as digits as its factorization.

101133122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728813.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101133122131 its reverse (131221331101), we get a palindrome (232354453232).

The spelling of 101133122131 in words is "one hundred one billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-one".