100413421040031 has 32 divisors (see below), whose sum is σ = 149845846199040. Its totient is φ = 59295724454400.

The previous prime is 100413421039999. The next prime is 100413421040057. The reversal of 100413421040031 is 130040124314001.

It is not a de Polignac number, because 100413421040031 - 2⁵ = 100413421039999 is a prime.

It is a super-2 number, since 2×100413421040031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100413421039983 and 100413421040010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413421040071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227980900 + ... + 228420921.

It is an arithmetic number, because the mean of its divisors is an integer number (4682682693720).

Almost surely, 2^{100413421040031} is an apocalyptic number.

100413421040031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100413421040031 is a deficient number, since it is larger than the sum of its proper divisors (49432425159009).

100413421040031 is a wasteful number, since it uses less digits than its factorization.

100413421040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456402007.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100413421040031 its reverse (130040124314001), we get a palindrome (230453545354032).

The spelling of 100413421040031 in words is "one hundred trillion, four hundred thirteen billion, four hundred twenty-one million, forty thousand, thirty-one".