10132410000 has 300 divisors, whose sum is σ = 33671109296. Its totient is φ = 2624160000.

The previous prime is 10132409993. The next prime is 10132410011. The reversal of 10132410000 is 1423101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 142709965 + ... + 142710035.

Almost surely, 2^10132410000 is an apocalyptic number.

10132410000 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 10132410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835554648).

10132410000 is an abundant number, since it is smaller than the sum of its proper divisors (23538699296).

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

10132410000 is an frugal number, since it uses more digits than its factorization.

10132410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10132410000 its reverse (1423101), we get a palindrome (10133833101).

The spelling of 10132410000 in words is "ten billion, one hundred thirty-two million, four hundred ten thousand".