332133413430100 has 18 divisors (see below), whose sum is σ = 720729507143534. Its totient is φ = 132853365372000.

The previous prime is 332133413429999. The next prime is 332133413430149. The reversal of 332133413430100 is 1034314331233.

It can be written as a sum of positive squares in 3 ways, for example, as 22975111351696 + 309158302078404 = 4793236^2 + 17582898^2 .

It is a super-2 number, since 2×332133413430100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1660667067051 + ... + 1660667067250.

Almost surely, 2^{332133413430100} is an apocalyptic number.

It is an amenable number.

332133413430100 is an abundant number, since it is smaller than the sum of its proper divisors (388596093713434).

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

332133413430100 is a wasteful number, since it uses less digits than its factorization.

332133413430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321334134315 (or 3321334134308 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 332133413430100 its reverse (1034314331233), we get a palindrome (333167727761333).

The spelling of 332133413430100 in words is "three hundred thirty-two trillion, one hundred thirty-three billion, four hundred thirteen million, four hundred thirty thousand, one hundred".