1103312131110 has 96 divisors (see below), whose sum is σ = 3281040360000. Its totient is φ = 251983540224.

The previous prime is 1103312131109. The next prime is 1103312131133. The reversal of 1103312131110 is 111312133011.

1103312131110 is a `hidden beast` number, since 1 + 1 + 0 + 331 + 21 + 311 + 1 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

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, 85794 + ... + 1487946.

It is an arithmetic number, because the mean of its divisors is an integer number (34177503750).

Almost surely, 2^{1103312131110} is an apocalyptic number.

1103312131110 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 1103312131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520180000).

1103312131110 is an abundant number, since it is smaller than the sum of its proper divisors (2177728228890).

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

1103312131110 is a wasteful number, since it uses less digits than its factorization.

1103312131110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403422 (or 1403419 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1103312131110 its reverse (111312133011), we get a palindrome (1214624264121).

The spelling of 1103312131110 in words is "one trillion, one hundred three billion, three hundred twelve million, one hundred thirty-one thousand, one hundred ten".