212333031101310 has 128 divisors (see below), whose sum is σ = 591355781775360. Its totient is φ = 47787527297664.

The previous prime is 212333031101297. The next prime is 212333031101311. The reversal of 212333031101310 is 13101130333212.

212333031101310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212333031101310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333031101311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28132657 + ... + 34872803.

It is an arithmetic number, because the mean of its divisors is an integer number (4619967045120).

Almost surely, 2^{212333031101310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212333031101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295677890887680).

212333031101310 is an abundant number, since it is smaller than the sum of its proper divisors (379022750674050).

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

212333031101310 is a wasteful number, since it uses less digits than its factorization.

212333031101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742470.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 212333031101310 its reverse (13101130333212), we get a palindrome (225434161434522).

The spelling of 212333031101310 in words is "two hundred twelve trillion, three hundred thirty-three billion, thirty-one million, one hundred one thousand, three hundred ten".