212002513133 has 32 divisors (see below), whose sum is σ = 234383466240. Its totient is φ = 190860848640.

The previous prime is 212002513109. The next prime is 212002513147. The reversal of 212002513133 is 331315200212.

212002513133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212002513133 - 2¹⁴ = 212002496749 is a prime.

It is a super-3 number, since 3×212002513133³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212002513099 and 212002513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002213133) 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 31 ways as a sum of consecutive naturals, for example, 81008441 + ... + 81011057.

It is an arithmetic number, because the mean of its divisors is an integer number (7324483320).

Almost surely, 2^212002513133 is an apocalyptic number.

212002513133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212002513133 is a deficient number, since it is larger than the sum of its proper divisors (22380953107).

212002513133 is a wasteful number, since it uses less digits than its factorization.

212002513133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 212002513133 its reverse (331315200212), we get a palindrome (543317713345).

The spelling of 212002513133 in words is "two hundred twelve billion, two million, five hundred thirteen thousand, one hundred thirty-three".