10510013382 has 64 divisors (see below), whose sum is σ = 23682585600. Its totient is φ = 3081985280.

The previous prime is 10510013363. The next prime is 10510013383. The reversal of 10510013382 is 28331001501.

It is a super-2 number, since 2×10510013382² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510013383) 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, 257044 + ... + 295112.

It is an arithmetic number, because the mean of its divisors is an integer number (370040400).

Almost surely, 2^10510013382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10510013382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841292800).

10510013382 is an abundant number, since it is smaller than the sum of its proper divisors (13172572218).

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

10510013382 is a wasteful number, since it uses less digits than its factorization.

10510013382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38221.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10510013382 its reverse (28331001501), we get a palindrome (38841014883).

The spelling of 10510013382 in words is "ten billion, five hundred ten million, thirteen thousand, three hundred eighty-two".