133132311203100 has 288 divisors, whose sum is σ = 428452257300480. Its totient is φ = 31644617184000.

The previous prime is 133132311203071. The next prime is 133132311203113. The reversal of 133132311203100 is 1302113231331.

It is a super-2 number, since 2×133132311203100² (a number of 29 digits) contains 22 as substring.

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, 73677435 + ... + 75462765.

It is an arithmetic number, because the mean of its divisors is an integer number (1487681448960).

Almost surely, 2^{133132311203100} is an apocalyptic number.

133132311203100 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 133132311203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214226128650240).

133132311203100 is an abundant number, since it is smaller than the sum of its proper divisors (295319946097380).

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

133132311203100 is a wasteful number, since it uses less digits than its factorization.

133132311203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785801 (or 1785794 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133132311203100 its reverse (1302113231331), we get a palindrome (134434424434431).

The spelling of 133132311203100 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, three hundred eleven million, two hundred three thousand, one hundred".