10132024314200 has 48 divisors (see below), whose sum is σ = 23558607885480. Its totient is φ = 4052525621760.

The previous prime is 10132024314161. The next prime is 10132024314211. The reversal of 10132024314200 is 241342023101.

10132024314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096112 + ... + 4633088.

Almost surely, 2^{10132024314200} is an apocalyptic number.

10132024314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132024314200 is an abundant number, since it is smaller than the sum of its proper divisors (13426583571280).

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

10132024314200 is a wasteful number, since it uses less digits than its factorization.

10132024314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551316 (or 3551307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10132024314200 its reverse (241342023101), we get a palindrome (10373366337301).

The spelling of 10132024314200 in words is "ten trillion, one hundred thirty-two billion, twenty-four million, three hundred fourteen thousand, two hundred".