113404110313410 has 320 divisors, whose sum is σ = 349882121825280. Its totient is φ = 25817646274560.

The previous prime is 113404110313409. The next prime is 113404110313411. The reversal of 113404110313410 is 14313011404311.

113404110313410 is a `hidden beast` number, since 1 + 1 + 3 + 404 + 110 + 3 + 134 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (113404110313409) and next prime (113404110313411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113404110313411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6418244056 + ... + 6418261724.

It is an arithmetic number, because the mean of its divisors is an integer number (1093381630704).

Almost surely, 2^{113404110313410} is an apocalyptic number.

113404110313410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113404110313410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174941060912640).

113404110313410 is an abundant number, since it is smaller than the sum of its proper divisors (236478011511870).

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

113404110313410 is a wasteful number, since it uses less digits than its factorization.

113404110313410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22143 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113404110313410 its reverse (14313011404311), we get a palindrome (127717121717721).

The spelling of 113404110313410 in words is "one hundred thirteen trillion, four hundred four billion, one hundred ten million, three hundred thirteen thousand, four hundred ten".