11312311220001 has 48 divisors (see below), whose sum is σ = 17841233674368. Its totient is φ = 6849881856000.

The previous prime is 11312311219949. The next prime is 11312311220027. The reversal of 11312311220001 is 10002211321311.

11312311220001 is a `hidden beast` number, since 1 + 131 + 2 + 311 + 220 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 11312311220001 - 2²⁵ = 11312277665569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11312311220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861752500 + ... + 861765626.

It is an arithmetic number, because the mean of its divisors is an integer number (371692368216).

Almost surely, 2^{11312311220001} is an apocalyptic number.

11312311220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11312311220001 is a deficient number, since it is larger than the sum of its proper divisors (6528922454367).

11312311220001 is a wasteful number, since it uses less digits than its factorization.

11312311220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20182 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11312311220001 its reverse (10002211321311), we get a palindrome (21314522541312).

It can be divided in two parts, 1131 and 2311220001, that added together give a palindrome (2311221132).

The spelling of 11312311220001 in words is "eleven trillion, three hundred twelve billion, three hundred eleven million, two hundred twenty thousand, one".