10211123000013 has 64 divisors (see below), whose sum is σ = 14955681452544. Its totient is φ = 6159089664000.

The previous prime is 10211122999963. The next prime is 10211123000021. The reversal of 10211123000013 is 31000032111201.

It is a happy number.

It is not a de Polignac number, because 10211123000013 - 2¹³ = 10211122991821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211122999956 and 10211123000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211123000083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370747023 + ... + 370774563.

It is an arithmetic number, because the mean of its divisors is an integer number (233682522696).

Almost surely, 2^{10211123000013} is an apocalyptic number.

10211123000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10211123000013 is a deficient number, since it is larger than the sum of its proper divisors (4744558452531).

10211123000013 is a wasteful number, since it uses less digits than its factorization.

10211123000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28406.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211123000013 its reverse (31000032111201), we get a palindrome (41211155111214).

The spelling of 10211123000013 in words is "ten trillion, two hundred eleven billion, one hundred twenty-three million, thirteen", and thus it is an aban number.