10413213000 has 128 divisors (see below), whose sum is σ = 32596611840. Its totient is φ = 2767680000.

The previous prime is 10413212983. The next prime is 10413213029. The reversal of 10413213000 is 31231401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927420 + ... + 938580.

It is an arithmetic number, because the mean of its divisors is an integer number (254661030).

Almost surely, 2^10413213000 is an apocalyptic number.

10413213000 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 10413213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298305920).

10413213000 is an abundant number, since it is smaller than the sum of its proper divisors (22183398840).

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

10413213000 is a wasteful number, since it uses less digits than its factorization.

10413213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10413213000 its reverse (31231401), we get a palindrome (10444444401).

The spelling of 10413213000 in words is "ten billion, four hundred thirteen million, two hundred thirteen thousand".