133023202312000 has 896 divisors, whose sum is σ = 443555899637760. Its totient is φ = 38164976640000.

The previous prime is 133023202311991. The next prime is 133023202312027. The reversal of 133023202312000 is 213202320331.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2874848865 + ... + 2874895135.

It is an arithmetic number, because the mean of its divisors is an integer number (495040066560).

Almost surely, 2^{133023202312000} is an apocalyptic number.

133023202312000 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 133023202312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221777949818880).

133023202312000 is an abundant number, since it is smaller than the sum of its proper divisors (310532697325760).

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

133023202312000 is a wasteful number, since it uses less digits than its factorization.

133023202312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46688 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133023202312000 its reverse (213202320331), we get a palindrome (133236404632331).

The spelling of 133023202312000 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred two million, three hundred twelve thousand".