10211210120013 has 16 divisors (see below), whose sum is σ = 15921798283776. Its totient is φ = 5699280066480.

The previous prime is 10211210119879. The next prime is 10211210120051. The reversal of 10211210120013 is 31002101211201.

It is not a de Polignac number, because 10211210120013 - 2⁸ = 10211210119757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211210119974 and 10211210120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211210120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5654046783 + ... + 5654048588.

It is an arithmetic number, because the mean of its divisors is an integer number (995112392736).

Almost surely, 2^{10211210120013} is an apocalyptic number.

It is an amenable number.

10211210120013 is a deficient number, since it is larger than the sum of its proper divisors (5710588163763).

10211210120013 is a wasteful number, since it uses less digits than its factorization.

10211210120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308095424.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10211210120013 its reverse (31002101211201), we get a palindrome (41213311331214).

The spelling of 10211210120013 in words is "ten trillion, two hundred eleven billion, two hundred ten million, one hundred twenty thousand, thirteen".