1101311200 has 72 divisors (see below), whose sum is σ = 2933015400. Its totient is φ = 400473600.

The previous prime is 1101311149. The next prime is 1101311201. The reversal of 1101311200 is 21131011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53775 + ... + 71374.

It is an arithmetic number, because the mean of its divisors is an integer number (40736325).

Almost surely, 2^1101311200 is an apocalyptic number.

1101311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101311200 is an abundant number, since it is smaller than the sum of its proper divisors (1831704200).

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

1101311200 is a wasteful number, since it uses less digits than its factorization.

1101311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125180 (or 125167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1101311200 is about 33186.0091002217. The cubic root of 1101311200 is about 1032.6901118935.

Adding to 1101311200 its reverse (21131011), we get a palindrome (1122442211).

The spelling of 1101311200 in words is "one billion, one hundred one million, three hundred eleven thousand, two hundred".