101131001220113 has 8 divisors (see below), whose sum is σ = 101239185113280. Its totient is φ = 101022820267600.

The previous prime is 101131001220107. The next prime is 101131001220133. The reversal of 101131001220113 is 311022100131101.

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 101131001220113 - 2³⁴ = 101113821350929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101131001220091 and 101131001220100.

It is not an unprimeable number, because it can be changed into a prime (101131001220103) 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, 71918663 + ... + 73311363.

It is an arithmetic number, because the mean of its divisors is an integer number (12654898139160).

Almost surely, 2^{101131001220113} is an apocalyptic number.

It is an amenable number.

101131001220113 is a deficient number, since it is larger than the sum of its proper divisors (108183893167).

101131001220113 is an equidigital number, since it uses as much as digits as its factorization.

101131001220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470327.

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

Adding to 101131001220113 its reverse (311022100131101), we get a palindrome (412153101351214).

The spelling of 101131001220113 in words is "one hundred one trillion, one hundred thirty-one billion, one million, two hundred twenty thousand, one hundred thirteen".