11313400313100 has 144 divisors (see below), whose sum is σ = 33174201715200. Its totient is φ = 2976344267520.

The previous prime is 11313400313069. The next prime is 11313400313141. The reversal of 11313400313100 is 131300431311.

It is a super-2 number, since 2×11313400313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29648722 + ... + 30027878.

It is an arithmetic number, because the mean of its divisors is an integer number (230376400800).

Almost surely, 2^{11313400313100} is an apocalyptic number.

11313400313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313400313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587100857600).

11313400313100 is an abundant number, since it is smaller than the sum of its proper divisors (21860801402100).

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

11313400313100 is a wasteful number, since it uses less digits than its factorization.

11313400313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380512 (or 380505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11313400313100 its reverse (131300431311), we get a palindrome (11444700744411).

The spelling of 11313400313100 in words is "eleven trillion, three hundred thirteen billion, four hundred million, three hundred thirteen thousand, one hundred".