2133300033312 has 96 divisors (see below), whose sum is σ = 6442852752000. Its totient is φ = 605423566848.

The previous prime is 2133300033287. The next prime is 2133300033313.

2133300033312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2133300033313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10552737 + ... + 10752992.

It is an arithmetic number, because the mean of its divisors is an integer number (67113049500).

Almost surely, 2^{2133300033312} is an apocalyptic number.

It is an amenable number.

2133300033312 is an abundant number, since it is smaller than the sum of its proper divisors (4309552718688).

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

2133300033312 is a wasteful number, since it uses less digits than its factorization.

2133300033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21305898 (or 21305890 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 21333000 and 33312, that added together give a palindrome (21366312).

The spelling of 2133300033312 in words is "two trillion, one hundred thirty-three billion, three hundred million, thirty-three thousand, three hundred twelve".