10211011013 has 8 divisors (see below), whose sum is σ = 11710964928. Its totient is φ = 8721366624.

The previous prime is 10211010967. The next prime is 10211011021. The reversal of 10211011013 is 31011011201.

It is a happy number.

10211011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10211011013 - 2¹² = 10211006917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211010985 and 10211011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575256 + ... + 2579217.

It is an arithmetic number, because the mean of its divisors is an integer number (1463870616).

Almost surely, 2^10211011013 is an apocalyptic number.

It is an amenable number.

10211011013 is a deficient number, since it is larger than the sum of its proper divisors (1499953915).

10211011013 is an equidigital number, since it uses as much as digits as its factorization.

10211011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154763.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10211011013 its reverse (31011011201), we get a palindrome (41222022214).

The spelling of 10211011013 in words is "ten billion, two hundred eleven million, eleven thousand, thirteen".