101211132100013 has 8 divisors (see below), whose sum is σ = 109030804222368. Its totient is φ = 93396345752304.

The previous prime is 101211132099887. The next prime is 101211132100051. The reversal of 101211132100013 is 310001231112101.

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 101211132100013 - 2²² = 101211127905709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211132099964 and 101211132100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211132100093) 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, 1221400631 + ... + 1221483492.

It is an arithmetic number, because the mean of its divisors is an integer number (13628850527796).

Almost surely, 2^{101211132100013} is an apocalyptic number.

101211132100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101211132100013 is a deficient number, since it is larger than the sum of its proper divisors (7819672122355).

101211132100013 is a wasteful number, since it uses less digits than its factorization.

101211132100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442887323.

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

Adding to 101211132100013 its reverse (310001231112101), we get a palindrome (411212363212114).

The spelling of 101211132100013 in words is "one hundred one trillion, two hundred eleven billion, one hundred thirty-two million, one hundred thousand, thirteen".