133312202310100 has 54 divisors (see below), whose sum is σ = 317977146381902. Its totient is φ = 48477164472000.

The previous prime is 133312202310097. The next prime is 133312202310107. The reversal of 133312202310100 is 1013202213331.

It can be written as a sum of positive squares in 3 ways, for example, as 776802500496 + 132535399809604 = 881364^2 + 11512402^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312202310107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5508756591 + ... + 5508780790.

Almost surely, 2^{133312202310100} is an apocalyptic number.

133312202310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312202310100 is an abundant number, since it is smaller than the sum of its proper divisors (184664944071802).

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

133312202310100 is a wasteful number, since it uses less digits than its factorization.

133312202310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017537417 (or 11017537399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133312202310100 its reverse (1013202213331), we get a palindrome (134325404523431).

The spelling of 133312202310100 in words is "one hundred thirty-three trillion, three hundred twelve billion, two hundred two million, three hundred ten thousand, one hundred".