10213003240400 has 120 divisors (see below), whose sum is σ = 24860759981400. Its totient is φ = 4031495700480.

The previous prime is 10213003240379. The next prime is 10213003240421. The reversal of 10213003240400 is 404230031201.

It is an interprime number because it is at equal distance from previous prime (10213003240379) and next prime (10213003240421).

It can be written as a sum of positive squares in 12 ways, for example, as 3306156704656 + 6906846535744 = 1818284^2 + 2628088^2 .

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

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, 13164092 + ... + 13918308.

It is an arithmetic number, because the mean of its divisors is an integer number (207172999845).

Almost surely, 2^{10213003240400} is an apocalyptic number.

10213003240400 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 10213003240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430379990700).

10213003240400 is an abundant number, since it is smaller than the sum of its proper divisors (14647756741000).

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

10213003240400 is a wasteful number, since it uses less digits than its factorization.

10213003240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754681 (or 754670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10213003240400 its reverse (404230031201), we get a palindrome (10617233271601).

The spelling of 10213003240400 in words is "ten trillion, two hundred thirteen billion, three million, two hundred forty thousand, four hundred".