41312113100 has 72 divisors (see below), whose sum is σ = 95014106208. Its totient is φ = 15537484800.

The previous prime is 41312113099. The next prime is 41312113109. The reversal of 41312113100 is 131121314.

41312113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41312113100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (41312113109) 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, 1795670 + ... + 1818530.

It is an arithmetic number, because the mean of its divisors is an integer number (1319640364).

Almost surely, 2^41312113100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47507053104).

41312113100 is an abundant number, since it is smaller than the sum of its proper divisors (53701993108).

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

41312113100 is a wasteful number, since it uses less digits than its factorization.

41312113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23955 (or 23948 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 41312113100 its reverse (131121314), we get a palindrome (41443234414).

The spelling of 41312113100 in words is "forty-one billion, three hundred twelve million, one hundred thirteen thousand, one hundred".