10413011234000 has 160 divisors (see below), whose sum is σ = 25421428281600. Its totient is φ = 4125067507200.

The previous prime is 10413011233991. The next prime is 10413011234009. The reversal of 10413011234000 is 43211031401.

It is an interprime number because it is at equal distance from previous prime (10413011233991) and next prime (10413011234009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413011234009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206741686 + ... + 1206750314.

It is an arithmetic number, because the mean of its divisors is an integer number (158883926760).

Almost surely, 2^{10413011234000} is an apocalyptic number.

10413011234000 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 10413011234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710714140800).

10413011234000 is an abundant number, since it is smaller than the sum of its proper divisors (15008417047600).

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

10413011234000 is a wasteful number, since it uses less digits than its factorization.

10413011234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10413011234000 its reverse (43211031401), we get a palindrome (10456222265401).

The spelling of 10413011234000 in words is "ten trillion, four hundred thirteen billion, eleven million, two hundred thirty-four thousand".