100413400123344 has 160 divisors (see below), whose sum is σ = 334561440983040. Its totient is φ = 25182043891200.

The previous prime is 100413400123343. The next prime is 100413400123363. The reversal of 100413400123344 is 443321004314001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413400123343) 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, 468308812 + ... + 468523179.

It is an arithmetic number, because the mean of its divisors is an integer number (2091009006144).

Almost surely, 2^{100413400123344} is an apocalyptic number.

100413400123344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100413400123344 is an abundant number, since it is smaller than the sum of its proper divisors (234148040859696).

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

100413400123344 is a wasteful number, since it uses less digits than its factorization.

100413400123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936832049 (or 936832043 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 100413400123344 its reverse (443321004314001), we get a palindrome (543734404437345).

The spelling of 100413400123344 in words is "one hundred trillion, four hundred thirteen billion, four hundred million, one hundred twenty-three thousand, three hundred forty-four".