1103142332310 has 512 divisors, whose sum is σ = 3025069037568. Its totient is φ = 256197427200.

The previous prime is 1103142332309. The next prime is 1103142332317. The reversal of 1103142332310 is 132332413011.

It is a super-2 number, since 2×1103142332310² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103142332317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6767744289 + ... + 6767744451.

It is an arithmetic number, because the mean of its divisors is an integer number (5908337964).

Almost surely, 2^{1103142332310} is an apocalyptic number.

1103142332310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103142332310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512534518784).

1103142332310 is an abundant number, since it is smaller than the sum of its proper divisors (1921926705258).

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

1103142332310 is a wasteful number, since it uses less digits than its factorization.

1103142332310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1103142332310 its reverse (132332413011), we get a palindrome (1235474745321).

The spelling of 1103142332310 in words is "one trillion, one hundred three billion, one hundred forty-two million, three hundred thirty-two thousand, three hundred ten".