10211042013 has 16 divisors (see below), whose sum is σ = 14128663680. Its totient is φ = 6551873216.

The previous prime is 10211041979. The next prime is 10211042053. The reversal of 10211042013 is 31024011201.

It is a cyclic number.

It is not a de Polignac number, because 10211042013 - 2¹⁸ = 10210779869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211041983 and 10211042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211042053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157545 + ... + 212702.

It is an arithmetic number, because the mean of its divisors is an integer number (883041480).

Almost surely, 2^10211042013 is an apocalyptic number.

It is an amenable number.

10211042013 is a deficient number, since it is larger than the sum of its proper divisors (3917621667).

10211042013 is a wasteful number, since it uses less digits than its factorization.

10211042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370596.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10211042013 its reverse (31024011201), we get a palindrome (41235053214).

The spelling of 10211042013 in words is "ten billion, two hundred eleven million, forty-two thousand, thirteen".