10132413243000 has 128 divisors (see below), whose sum is σ = 31616661510720. Its totient is φ = 2701674969600.

The previous prime is 10132413242971. The next prime is 10132413243011. The reversal of 10132413243000 is 34231423101.

It is a happy number.

10132413243000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 27334902 + ... + 27703098.

Almost surely, 2^{10132413243000} is an apocalyptic number.

10132413243000 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 10132413243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808330755360).

10132413243000 is an abundant number, since it is smaller than the sum of its proper divisors (21484248267720).

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

10132413243000 is a wasteful number, since it uses less digits than its factorization.

10132413243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377394 (or 377380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10132413243000 its reverse (34231423101), we get a palindrome (10166644666101).

The spelling of 10132413243000 in words is "ten trillion, one hundred thirty-two billion, four hundred thirteen million, two hundred forty-three thousand".