33140040000100 has 108 divisors (see below), whose sum is σ = 79447096161972. Its totient is φ = 11989750572800.

The previous prime is 33140040000071. The next prime is 33140040000139. The reversal of 33140040000100 is 100004004133.

It can be written as a sum of positive squares in 6 ways, for example, as 2044962920484 + 31095077079616 = 1430022^2 + 5576296^2 .

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 35 ways as a sum of consecutive naturals, for example, 4567687 + ... + 9335086.

It is an arithmetic number, because the mean of its divisors is an integer number (735621260759).

Almost surely, 2^{33140040000100} is an apocalyptic number.

It is an amenable number.

33140040000100 is an abundant number, since it is smaller than the sum of its proper divisors (46307056161872).

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

33140040000100 is a wasteful number, since it uses less digits than its factorization.

33140040000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903006 (or 13902988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33140040000100 its reverse (100004004133), we get a palindrome (33240044004233).

The spelling of 33140040000100 in words is "thirty-three trillion, one hundred forty billion, forty million, one hundred", and thus it is an aban number.