111310441000 has 384 divisors, whose sum is σ = 309160968480. Its totient is φ = 37340160000.

The previous prime is 111310440931. The next prime is 111310441007. The reversal of 111310441000 is 144013111.

It can be written as a sum of positive squares in 16 ways, for example, as 909746244 + 110400694756 = 30162^2 + 332266^2 .

It is a super-2 number, since 2×111310441000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111310441007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109020490 + ... + 109021510.

Almost surely, 2^111310441000 is an apocalyptic number.

111310441000 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 111310441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154580484240).

111310441000 is an abundant number, since it is smaller than the sum of its proper divisors (197850527480).

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

111310441000 is a wasteful number, since it uses less digits than its factorization.

111310441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 111310441000 its reverse (144013111), we get a palindrome (111454454111).

The spelling of 111310441000 in words is "one hundred eleven billion, three hundred ten million, four hundred forty-one thousand".