1100220310431 has 48 divisors (see below), whose sum is σ = 1743823579680. Its totient is φ = 662901408000.

The previous prime is 1100220310411. The next prime is 1100220310459. The reversal of 1100220310431 is 1340130220011.

1100220310431 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 220 + 3 + 10 + 431 = 666.

It is not a de Polignac number, because 1100220310431 - 2⁷ = 1100220310303 is a prime.

It is a super-2 number, since 2×1100220310431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220310411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68460465 + ... + 68476533.

It is an arithmetic number, because the mean of its divisors is an integer number (36329657910).

Almost surely, 2^{1100220310431} is an apocalyptic number.

1100220310431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100220310431 is a deficient number, since it is larger than the sum of its proper divisors (643603269249).

1100220310431 is a wasteful number, since it uses less digits than its factorization.

1100220310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20088 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100220310431 its reverse (1340130220011), we get a palindrome (2440350530442).

The spelling of 1100220310431 in words is "one trillion, one hundred billion, two hundred twenty million, three hundred ten thousand, four hundred thirty-one".