10213024000413 has 12 divisors (see below), whose sum is σ = 14745431101920. Its totient is φ = 6284937846096.

The previous prime is 10213024000363. The next prime is 10213024000423. The reversal of 10213024000413 is 31400042031201.

It is not a de Polignac number, because 10213024000413 - 2²⁰ = 10213022951837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10213024000413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213024000423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10072015273 + ... + 10072016286.

It is an arithmetic number, because the mean of its divisors is an integer number (1228785925160).

Almost surely, 2^{10213024000413} is an apocalyptic number.

10213024000413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10213024000413 is a deficient number, since it is larger than the sum of its proper divisors (4532407101507).

10213024000413 is a wasteful number, since it uses less digits than its factorization.

10213024000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144031588 (or 20144031575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10213024000413 its reverse (31400042031201), we get a palindrome (41613066031614).

The spelling of 10213024000413 in words is "ten trillion, two hundred thirteen billion, twenty-four million, four hundred thirteen", and thus it is an aban number.