2001312203310 has 288 divisors, whose sum is σ = 6134865171552. Its totient is φ = 451284825600.

The previous prime is 2001312203287. The next prime is 2001312203327. The reversal of 2001312203310 is 133022131002.

2001312203310 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 312 + 20 + 331 + 0 = 666.

It is a super-5 number, since 5×2001312203310⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126043092 + ... + 126058968.

It is an arithmetic number, because the mean of its divisors is an integer number (21301615179).

Almost surely, 2^{2001312203310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001312203310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067432585776).

2001312203310 is an abundant number, since it is smaller than the sum of its proper divisors (4133552968242).

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

2001312203310 is a wasteful number, since it uses less digits than its factorization.

2001312203310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001312203310 its reverse (133022131002), we get a palindrome (2134334334312).

The spelling of 2001312203310 in words is "two trillion, one billion, three hundred twelve million, two hundred three thousand, three hundred ten".