2133105917272 has 128 divisors (see below), whose sum is σ = 4709550988800. Its totient is φ = 895259520000.

The previous prime is 2133105917263. The next prime is 2133105917273. The reversal of 2133105917272 is 2727195013312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133105917273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70662022 + ... + 70692202.

It is an arithmetic number, because the mean of its divisors is an integer number (36793367100).

Almost surely, 2^{2133105917272} is an apocalyptic number.

2133105917272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133105917272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354775494400).

2133105917272 is an abundant number, since it is smaller than the sum of its proper divisors (2576445071528).

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

2133105917272 is a wasteful number, since it uses less digits than its factorization.

2133105917272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31289 (or 31285 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 2133105917272 in words is "two trillion, one hundred thirty-three billion, one hundred five million, nine hundred seventeen thousand, two hundred seventy-two".