101330110101031 has 8 divisors (see below), whose sum is σ = 116063759584800. Its totient is φ = 86660940484608.

The previous prime is 101330110101007. The next prime is 101330110101047. The reversal of 101330110101031 is 130101011033101.

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

It is not a de Polignac number, because 101330110101031 - 2¹⁵ = 101330110068263 is a prime.

It is a super-2 number, since 2×101330110101031² (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 = 101330110100996 and 101330110101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330110101131) 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 7 ways as a sum of consecutive naturals, for example, 16119963466 + ... + 16119969751.

It is an arithmetic number, because the mean of its divisors is an integer number (14507969948100).

Almost surely, 2^{101330110101031} is an apocalyptic number.

101330110101031 is a deficient number, since it is larger than the sum of its proper divisors (14733649483769).

101330110101031 is an equidigital number, since it uses as much as digits as its factorization.

101330110101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32239933673.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101330110101031 its reverse (130101011033101), we get a palindrome (231431121134132).

The spelling of 101330110101031 in words is "one hundred one trillion, three hundred thirty billion, one hundred ten million, one hundred one thousand, thirty-one".