31112330100 has 144 divisors (see below), whose sum is σ = 91203537600. Its totient is φ = 8188113920.

The previous prime is 31112330099. The next prime is 31112330153. The reversal of 31112330100 is 103321113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31112330100.

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, 7354786 + ... + 7359014.

It is an arithmetic number, because the mean of its divisors is an integer number (633357900).

Almost surely, 2^31112330100 is an apocalyptic number.

31112330100 is a gapful number since it is divisible by the number (30) 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 31112330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601768800).

31112330100 is an abundant number, since it is smaller than the sum of its proper divisors (60091207500).

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

31112330100 is a wasteful number, since it uses less digits than its factorization.

31112330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31112330100 its reverse (103321113), we get a palindrome (31215651213).

The spelling of 31112330100 in words is "thirty-one billion, one hundred twelve million, three hundred thirty thousand, one hundred".