1101300031200 has 72 divisors (see below), whose sum is σ = 3584731609368. Its totient is φ = 293680007680.

The previous prime is 1101300031187. The next prime is 1101300031201. The reversal of 1101300031200 is 21300031011.

It is a super-2 number, since 2×1101300031200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101300031201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229435107 + ... + 229439906.

It is an arithmetic number, because the mean of its divisors is an integer number (49787939019).

Almost surely, 2^{1101300031200} is an apocalyptic number.

1101300031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101300031200 is an abundant number, since it is smaller than the sum of its proper divisors (2483431578168).

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

1101300031200 is a wasteful number, since it uses less digits than its factorization.

1101300031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458875036 (or 458875023 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1101300031200 its reverse (21300031011), we get a palindrome (1122600062211).

The spelling of 1101300031200 in words is "one trillion, one hundred one billion, three hundred million, thirty-one thousand, two hundred".