133212420330400 has 36 divisors (see below), whose sum is σ = 325204821133542. Its totient is φ = 53284968131840.

The previous prime is 133212420330359. The next prime is 133212420330449. The reversal of 133212420330400 is 4033024212331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 110549831575824 + 22662588754576 = 10514268^2 + 4760524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83257761907 + ... + 83257763506.

Almost surely, 2^{133212420330400} is an apocalyptic number.

133212420330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212420330400 is an abundant number, since it is smaller than the sum of its proper divisors (191992400803142).

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

133212420330400 is a wasteful number, since it uses less digits than its factorization.

133212420330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166515525433 (or 166515525420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133212420330400 its reverse (4033024212331), we get a palindrome (137245444542731).

The spelling of 133212420330400 in words is "one hundred thirty-three trillion, two hundred twelve billion, four hundred twenty million, three hundred thirty thousand, four hundred".