101131013202301 has 8 divisors (see below), whose sum is σ = 102518923378040. Its totient is φ = 99743172049152.

The previous prime is 101131013202281. The next prime is 101131013202311. The reversal of 101131013202301 is 103202310131101.

It can be written as a sum of positive squares in 4 ways, for example, as 2503670125401 + 98627343076900 = 1582299^2 + 9931130^2 .

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 101131013202301 - 2¹⁹ = 101131012678013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131013202311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14301720 + ... + 20169313.

It is an arithmetic number, because the mean of its divisors is an integer number (12814865422255).

Almost surely, 2^{101131013202301} is an apocalyptic number.

It is an amenable number.

101131013202301 is a deficient number, since it is larger than the sum of its proper divisors (1387910175739).

101131013202301 is an equidigital number, since it uses as much as digits as its factorization.

101131013202301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34511295.

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

Adding to 101131013202301 its reverse (103202310131101), we get a palindrome (204333323333402).

The spelling of 101131013202301 in words is "one hundred one trillion, one hundred thirty-one billion, thirteen million, two hundred two thousand, three hundred one".