11310201311310 has 144 divisors (see below), whose sum is σ = 32337163967472. Its totient is φ = 2740654709760.

The previous prime is 11310201311261. The next prime is 11310201311327. The reversal of 11310201311310 is 1311310201311.

11310201311310 is a `hidden beast` number, since 1 + 1 + 310 + 20 + 13 + 11 + 310 = 666.

It is a super-2 number, since 2×11310201311310² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 24524509 + ... + 24981431.

It is an arithmetic number, because the mean of its divisors is an integer number (224563638663).

Almost surely, 2^{11310201311310} is an apocalyptic number.

11310201311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310201311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168581983736).

11310201311310 is an abundant number, since it is smaller than the sum of its proper divisors (21026962656162).

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

11310201311310 is a wasteful number, since it uses less digits than its factorization.

11310201311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459231 (or 459217 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11310201311310 its reverse (1311310201311), we get a palindrome (12621511512621).

The spelling of 11310201311310 in words is "eleven trillion, three hundred ten billion, two hundred one million, three hundred eleven thousand, three hundred ten".