101141131013 has 16 divisors (see below), whose sum is σ = 109684335600. Its totient is φ = 92707313664.

The previous prime is 101141131009. The next prime is 101141131019. The reversal of 101141131013 is 310131141101.

It can be written as a sum of positive squares in 8 ways, for example, as 3407990884 + 97733140129 = 58378^2 + 312623^2 .

It is not a de Polignac number, because 101141131013 - 2² = 101141131009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101141130982 and 101141131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141131019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9976295 + ... + 9986427.

It is an arithmetic number, because the mean of its divisors is an integer number (6855270975).

Almost surely, 2^101141131013 is an apocalyptic number.

101141131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101141131013 is a deficient number, since it is larger than the sum of its proper divisors (8543204587).

101141131013 is a wasteful number, since it uses less digits than its factorization.

101141131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15448.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101141131013 its reverse (310131141101), we get a palindrome (411272272114).

The spelling of 101141131013 in words is "one hundred one billion, one hundred forty-one million, one hundred thirty-one thousand, thirteen".