101131113301 has 4 divisors (see below), whose sum is σ = 104618393100. Its totient is φ = 97643833504.

The previous prime is 101131113169. The next prime is 101131113313. The reversal of 101131113301 is 103311131101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 103311131101 = 1049 ⋅98485349.

It can be written as a sum of positive squares in 2 ways, for example, as 71101689201 + 30029424100 = 266649^2 + 173290^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131113301 - 2¹⁷ = 101130982229 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 (101131113701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1743639856 + ... + 1743639913.

It is an arithmetic number, because the mean of its divisors is an integer number (26154598275).

Almost surely, 2^101131113301 is an apocalyptic number.

It is an amenable number.

101131113301 is a deficient number, since it is larger than the sum of its proper divisors (3487279799).

101131113301 is an equidigital number, since it uses as much as digits as its factorization.

101131113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487279798.

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

Adding to 101131113301 its reverse (103311131101), we get a palindrome (204442244402).

The spelling of 101131113301 in words is "one hundred one billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred one".