10413312 has 144 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 2727936.

The previous prime is 10413307. The next prime is 10413313. The reversal of 10413312 is 21331401.

It is a junction number, because it is equal to n+sod(n) for n = 10413291 and 10413300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69814 + ... + 69962.

Almost surely, 2^10413312 is an apocalyptic number.

10413312 is a gapful number since it is divisible by the number (12) 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 10413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

10413312 is an abundant number, since it is smaller than the sum of its proper divisors (23925888).

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

10413312 is a wasteful number, since it uses less digits than its factorization.

10413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

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

The square root of 10413312 is about 3226.9663772652. The cubic root of 10413312 is about 218.3716690967.

Adding to 10413312 its reverse (21331401), we get a palindrome (31744713).

The spelling of 10413312 in words is "ten million, four hundred thirteen thousand, three hundred twelve".