413312101401100 has 72 divisors (see below), whose sum is σ = 979020162168048. Its totient is φ = 150203497516800.

The previous prime is 413312101400929. The next prime is 413312101401109. The reversal of 413312101401100 is 1104101213314.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (413312101401109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112963587 + ... + 116564986.

It is an arithmetic number, because the mean of its divisors is an integer number (13597502252334).

Almost surely, 2^{413312101401100} is an apocalyptic number.

It is an amenable number.

413312101401100 is an abundant number, since it is smaller than the sum of its proper divisors (565708060766948).

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

413312101401100 is a wasteful number, since it uses less digits than its factorization.

413312101401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229530235 (or 229530228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 413312101401100 its reverse (1104101213314), we get a palindrome (414416202614414).

The spelling of 413312101401100 in words is "four hundred thirteen trillion, three hundred twelve billion, one hundred one million, four hundred one thousand, one hundred".