1000431031100 has 72 divisors (see below), whose sum is σ = 2189203632000. Its totient is φ = 396809732800.

The previous prime is 1000431031081. The next prime is 1000431031121. The reversal of 1000431031100 is 11301340001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17249951 + ... + 17307849.

It is an arithmetic number, because the mean of its divisors is an integer number (30405606000).

Almost surely, 2^{1000431031100} is an apocalyptic number.

1000431031100 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 1000431031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094601816000).

1000431031100 is an abundant number, since it is smaller than the sum of its proper divisors (1188772600900).

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

1000431031100 is a wasteful number, since it uses less digits than its factorization.

1000431031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59363 (or 59356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000431031100 its reverse (11301340001), we get a palindrome (1011732371101).

The spelling of 1000431031100 in words is "one trillion, four hundred thirty-one million, thirty-one thousand, one hundred".