10111133340 has 288 divisors, whose sum is σ = 39920428800. Its totient is φ = 2100954240.

The previous prime is 10111133323. The next prime is 10111133393. The reversal of 10111133340 is 4333111101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273691 + ... + 308429.

It is an arithmetic number, because the mean of its divisors is an integer number (138612600).

Almost surely, 2^10111133340 is an apocalyptic number.

10111133340 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 10111133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960214400).

10111133340 is an abundant number, since it is smaller than the sum of its proper divisors (29809295460).

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

10111133340 is a wasteful number, since it uses less digits than its factorization.

10111133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34782 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10111133340 its reverse (4333111101), we get a palindrome (14444244441).

The spelling of 10111133340 in words is "ten billion, one hundred eleven million, one hundred thirty-three thousand, three hundred forty".