133210010040 has 192 divisors, whose sum is σ = 426239452800. Its totient is φ = 33207969024.

The previous prime is 133210009993. The next prime is 133210010053. The reversal of 133210010040 is 40010012331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158771941 + ... + 158772779.

It is an arithmetic number, because the mean of its divisors is an integer number (2219997150).

Almost surely, 2^133210010040 is an apocalyptic number.

133210010040 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 133210010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213119726400).

133210010040 is an abundant number, since it is smaller than the sum of its proper divisors (293029442760).

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

133210010040 is an equidigital number, since it uses as much as digits as its factorization.

133210010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133210010040 its reverse (40010012331), we get a palindrome (173220022371).

The spelling of 133210010040 in words is "one hundred thirty-three billion, two hundred ten million, ten thousand, forty".