133412803110 has 256 divisors, whose sum is σ = 374074122240. Its totient is φ = 33794496000.

The previous prime is 133412803091. The next prime is 133412803159. The reversal of 133412803110 is 11308214331.

133412803110 is a `hidden beast` number, since 1 + 3 + 341 + 2 + 8 + 0 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125741980 + ... + 125743040.

It is an arithmetic number, because the mean of its divisors is an integer number (1461227040).

Almost surely, 2^133412803110 is an apocalyptic number.

133412803110 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 133412803110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187037061120).

133412803110 is an abundant number, since it is smaller than the sum of its proper divisors (240661319130).

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

133412803110 is a wasteful number, since it uses less digits than its factorization.

133412803110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 133412803110 in words is "one hundred thirty-three billion, four hundred twelve million, eight hundred three thousand, one hundred ten".