31100160000 has 960 divisors, whose sum is σ = 128951222400. Its totient is φ = 6488064000.

The previous prime is 31100159939. The next prime is 31100160037. The reversal of 31100160000 is 6100113.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349439956 + ... + 349440044.

It is an arithmetic number, because the mean of its divisors is an integer number (134324190).

Almost surely, 2^31100160000 is an apocalyptic number.

31100160000 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 31100160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64475611200).

31100160000 is an abundant number, since it is smaller than the sum of its proper divisors (97851062400).

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

31100160000 is an equidigital number, since it uses as much as digits as its factorization.

31100160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31100160000 its reverse (6100113), we get a palindrome (31106260113).

The spelling of 31100160000 in words is "thirty-one billion, one hundred million, one hundred sixty thousand".