10005120131352 has 16 divisors (see below), whose sum is σ = 25012800328440. Its totient is φ = 3335040043776.

The previous prime is 10005120131333. The next prime is 10005120131353. The reversal of 10005120131352 is 25313102150001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 416880005473 = 10005120131352 / (1 + 0 + 0 + 0 + 5 + 1 + 2 + 0 + 1 + 3 + 1 + 3 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005120131353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208440002713 + ... + 208440002760.

Almost surely, 2^{10005120131352} is an apocalyptic number.

10005120131352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005120131352 is an abundant number, since it is smaller than the sum of its proper divisors (15007680197088).

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

10005120131352 is a wasteful number, since it uses less digits than its factorization.

10005120131352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416880005482 (or 416880005478 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10005120131352 its reverse (25313102150001), we get a palindrome (35318222281353).

The spelling of 10005120131352 in words is "ten trillion, five billion, one hundred twenty million, one hundred thirty-one thousand, three hundred fifty-two".