101133130300131 has 8 divisors (see below), whose sum is σ = 136234319854864. Its totient is φ = 66727013806080.

The previous prime is 101133130300051. The next prime is 101133130300133. The reversal of 101133130300131 is 131003031331101.

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

It is not a de Polignac number, because 101133130300131 - 2⁷ = 101133130300003 is a prime.

It is a super-2 number, since 2×101133130300131² (a number of 29 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 = 101133130300098 and 101133130300107.

It is not an unprimeable number, because it can be changed into a prime (101133130300133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173768264830 + ... + 173768265411.

It is an arithmetic number, because the mean of its divisors is an integer number (17029289981858).

Almost surely, 2^{101133130300131} is an apocalyptic number.

101133130300131 is a deficient number, since it is larger than the sum of its proper divisors (35101189554733).

101133130300131 is an equidigital number, since it uses as much as digits as its factorization.

101133130300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347536530341.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 101133130300131 its reverse (131003031331101), we get a palindrome (232136161631232).

The spelling of 101133130300131 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred thirty million, three hundred thousand, one hundred thirty-one".