1103130031311 has 48 divisors (see below), whose sum is σ = 2016239816448. Its totient is φ = 564501484800.

The previous prime is 1103130031307. The next prime is 1103130031321. The reversal of 1103130031311 is 1131300313011.

1103130031311 is a `hidden beast` number, since 1 + 10 + 31 + 300 + 313 + 11 = 666.

It is not a de Polignac number, because 1103130031311 - 2² = 1103130031307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103130031321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11832810 + ... + 11925671.

It is an arithmetic number, because the mean of its divisors is an integer number (42004996176).

Almost surely, 2^{1103130031311} is an apocalyptic number.

1103130031311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1103130031311 is a deficient number, since it is larger than the sum of its proper divisors (913109785137).

1103130031311 is a wasteful number, since it uses less digits than its factorization.

1103130031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758572 (or 23758569 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1103130031311 its reverse (1131300313011), we get a palindrome (2234430344322).

The spelling of 1103130031311 in words is "one trillion, one hundred three billion, one hundred thirty million, thirty-one thousand, three hundred eleven".