100224134013003 has 128 divisors (see below), whose sum is σ = 191684396359680. Its totient is φ = 44850521041920.

The previous prime is 100224134012969. The next prime is 100224134013023. The reversal of 100224134013003 is 300310431422001.

It is a happy number.

It is not a de Polignac number, because 100224134013003 - 2³⁶ = 100155414536267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100224134013023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9285850 + ... + 16931487.

It is an arithmetic number, because the mean of its divisors is an integer number (1497534346560).

Almost surely, 2^{100224134013003} is an apocalyptic number.

100224134013003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100224134013003 is a deficient number, since it is larger than the sum of its proper divisors (91460262346677).

100224134013003 is a wasteful number, since it uses less digits than its factorization.

100224134013003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26217457.

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

Adding to 100224134013003 its reverse (300310431422001), we get a palindrome (400534565435004).

The spelling of 100224134013003 in words is "one hundred trillion, two hundred twenty-four billion, one hundred thirty-four million, thirteen thousand, three".