1031100331100 has 108 divisors (see below), whose sum is σ = 2604068328960. Its totient is φ = 353346739200.

The previous prime is 1031100331091. The next prime is 1031100331109. The reversal of 1031100331100 is 11330011301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1031100331091) and next prime (1031100331109).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031100331109) 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 35 ways as a sum of consecutive naturals, for example, 10146341 + ... + 10247459.

Almost surely, 2^{1031100331100} is an apocalyptic number.

1031100331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031100331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302034164480).

1031100331100 is an abundant number, since it is smaller than the sum of its proper divisors (1572967997860).

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

1031100331100 is a wasteful number, since it uses less digits than its factorization.

1031100331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103228 (or 103214 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1031100331100 its reverse (11330011301), we get a palindrome (1042430342401).

The spelling of 1031100331100 in words is "one trillion, thirty-one billion, one hundred million, three hundred thirty-one thousand, one hundred".