11312003121300 has 108 divisors (see below), whose sum is σ = 40522108981536. Its totient is φ = 2585600712000.

The previous prime is 11312003121271. The next prime is 11312003121319. The reversal of 11312003121300 is 312130021311.

11312003121300 is a `hidden beast` number, since 1 + 1 + 31 + 20 + 0 + 312 + 1 + 300 = 666.

It is a super-2 number, since 2×11312003121300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 897771726 + ... + 897784325.

It is an arithmetic number, because the mean of its divisors is an integer number (375204712792).

Almost surely, 2^{11312003121300} is an apocalyptic number.

11312003121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312003121300 is an abundant number, since it is smaller than the sum of its proper divisors (29210105860236).

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

11312003121300 is a wasteful number, since it uses less digits than its factorization.

11312003121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795556078 (or 1795556068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312003121300 its reverse (312130021311), we get a palindrome (11624133142611).

The spelling of 11312003121300 in words is "eleven trillion, three hundred twelve billion, three million, one hundred twenty-one thousand, three hundred".