100413012333240 has 192 divisors, whose sum is σ = 350827099084800. Its totient is φ = 24827763776256.

The previous prime is 100413012333209. The next prime is 100413012333247. The reversal of 100413012333240 is 42333210314001.

It is a happy number.

100413012333240 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 301 + 2 + 33 + 324 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413012333247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155851552 + ... + 156494511.

It is an arithmetic number, because the mean of its divisors is an integer number (1827224474400).

Almost surely, 2^{100413012333240} is an apocalyptic number.

100413012333240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100413012333240 is an abundant number, since it is smaller than the sum of its proper divisors (250414086751560).

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

100413012333240 is a wasteful number, since it uses less digits than its factorization.

100413012333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312346146 (or 312346139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100413012333240 its reverse (42333210314001), we get a palindrome (142746222647241).

The spelling of 100413012333240 in words is "one hundred trillion, four hundred thirteen billion, twelve million, three hundred thirty-three thousand, two hundred forty".