10142131333200 has 120 divisors (see below), whose sum is σ = 32492929733088. Its totient is φ = 2704210199040.

The previous prime is 10142131333181. The next prime is 10142131333267. The reversal of 10142131333200 is 233313124101.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8567782 + ... + 9679418.

Almost surely, 2^{10142131333200} is an apocalyptic number.

10142131333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142131333200 is an abundant number, since it is smaller than the sum of its proper divisors (22350798399888).

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

10142131333200 is a wasteful number, since it uses less digits than its factorization.

10142131333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119261 (or 1119250 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10142131333200 its reverse (233313124101), we get a palindrome (10375444457301).

The spelling of 10142131333200 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred".