133211010312000 has 672 divisors, whose sum is σ = 501333769800864. Its totient is φ = 33719832576000.

The previous prime is 133211010311999. The next prime is 133211010312053. The reversal of 133211010312000 is 213010112331.

133211010312000 is a `hidden beast` number, since 1 + 332 + 1 + 10 + 10 + 312 + 0 + 0 + 0 = 666.

133211010312000 is digitally balanced in base 4, 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 16 ways, for example, as 69029377625664 + 64181632686336 = 8308392^2 + 8011344^2 .

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, 108614194 + ... + 109833806.

It is an arithmetic number, because the mean of its divisors is an integer number (746032395537).

Almost surely, 2^{133211010312000} is an apocalyptic number.

133211010312000 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 133211010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250666884900432).

133211010312000 is an abundant number, since it is smaller than the sum of its proper divisors (368122759488864).

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

133211010312000 is a wasteful number, since it uses less digits than its factorization.

133211010312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219724 (or 1219701 counting only the distinct ones).

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

Adding to 133211010312000 its reverse (213010112331), we get a palindrome (133424020424331).

The spelling of 133211010312000 in words is "one hundred thirty-three trillion, two hundred eleven billion, ten million, three hundred twelve thousand".