330431200013000 has 32 divisors (see below), whose sum is σ = 773209008032760. Its totient is φ = 132172480004800.

The previous prime is 330431200012999. The next prime is 330431200013009. The reversal of 330431200013000 is 310002134033.

It can be written as a sum of positive squares in 4 ways, for example, as 58020730373956 + 272410469639044 = 7617134^2 + 16504862^2 .

It is a super-2 number, since 2×330431200013000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (330431200013009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 165215599007 + ... + 165215601006.

Almost surely, 2^{330431200013000} is an apocalyptic number.

It is an amenable number.

330431200013000 is an abundant number, since it is smaller than the sum of its proper divisors (442777808019760).

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

330431200013000 is a wasteful number, since it uses less digits than its factorization.

330431200013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330431200034 (or 330431200020 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330431200013000 its reverse (310002134033), we get a palindrome (330741202147033).

The spelling of 330431200013000 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred million, thirteen thousand".