1101131616 has 288 divisors, whose sum is σ = 3431248128. Its totient is φ = 307077120.

The previous prime is 1101131611. The next prime is 1101131627. The reversal of 1101131616 is 6161311011.

It is a junction number, because it is equal to n+sod(n) for n = 1101131592 and 1101131601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101131611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15508861 + ... + 15508931.

It is an arithmetic number, because the mean of its divisors is an integer number (11914056).

Almost surely, 2^1101131616 is an apocalyptic number.

1101131616 is a gapful number since it is divisible by the number (16) 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 1101131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715624064).

1101131616 is an abundant number, since it is smaller than the sum of its proper divisors (2330116512).

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

1101131616 is a wasteful number, since it uses less digits than its factorization.

1101131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 1101131616 is about 33183.3032713743. The cubic root of 1101131616 is about 1032.6339773809.

Adding to 1101131616 its reverse (6161311011), we get a palindrome (7262442627).

The spelling of 1101131616 in words is "one billion, one hundred one million, one hundred thirty-one thousand, six hundred sixteen".