133310100040 has 96 divisors (see below), whose sum is σ = 325151991720. Its totient is φ = 49168164864.

The previous prime is 133310100031. The next prime is 133310100089. The reversal of 133310100040 is 40001013331.

133310100040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1951695684 + 131358404356 = 44178^2 + 362434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133310099987 and 133310100023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6431934 + ... + 6452626.

Almost surely, 2^133310100040 is an apocalyptic number.

133310100040 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 133310100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162575995860).

133310100040 is an abundant number, since it is smaller than the sum of its proper divisors (191841891680).

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

133310100040 is a wasteful number, since it uses less digits than its factorization.

133310100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21683 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133310100040 its reverse (40001013331), we get a palindrome (173311113371).

The spelling of 133310100040 in words is "one hundred thirty-three billion, three hundred ten million, one hundred thousand, forty".