33142141301000 has 32 divisors (see below), whose sum is σ = 77552610646680. Its totient is φ = 13256856520000.

The previous prime is 33142141300967. The next prime is 33142141301033. The reversal of 33142141301000 is 10314124133.

It is an interprime number because it is at equal distance from previous prime (33142141300967) and next prime (33142141301033).

It can be written as a sum of positive squares in 4 ways, for example, as 18912391950244 + 14229749350756 = 4348838^2 + 3772234^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16571069651 + ... + 16571071650.

Almost surely, 2^{33142141301000} is an apocalyptic number.

It is an amenable number.

33142141301000 is an abundant number, since it is smaller than the sum of its proper divisors (44410469345680).

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

33142141301000 is a wasteful number, since it uses less digits than its factorization.

33142141301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33142141322 (or 33142141308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 33142141301000 its reverse (10314124133), we get a palindrome (33152455425133).

The spelling of 33142141301000 in words is "thirty-three trillion, one hundred forty-two billion, one hundred forty-one million, three hundred one thousand".