10414213300 has 72 divisors (see below), whose sum is σ = 22805401472. Its totient is φ = 4127760000.

The previous prime is 10414213289. The next prime is 10414213351. The reversal of 10414213300 is 331241401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9527554 + ... + 9528646.

Almost surely, 2^10414213300 is an apocalyptic number.

10414213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402700736).

10414213300 is an abundant number, since it is smaller than the sum of its proper divisors (12391188172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10414213300 is a wasteful number, since it uses less digits than its factorization.

10414213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10414213300 its reverse (331241401), we get a palindrome (10745454701).

The spelling of 10414213300 in words is "ten billion, four hundred fourteen million, two hundred thirteen thousand, three hundred".