10311200211301 has 32 divisors (see below), whose sum is σ = 11501230124160. Its totient is φ = 9165672672000.

The previous prime is 10311200211287. The next prime is 10311200211311.

It is a happy number.

10311200211301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10311200211301 - 2⁷ = 10311200211173 is a prime.

It is a super-2 number, since 2×10311200211301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311200211311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257162011 + ... + 257202103.

It is an arithmetic number, because the mean of its divisors is an integer number (359413441380).

Almost surely, 2^{10311200211301} is an apocalyptic number.

10311200211301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311200211301 is a deficient number, since it is larger than the sum of its proper divisors (1190029912859).

10311200211301 is a wasteful number, since it uses less digits than its factorization.

10311200211301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43077.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 10311200 and 211301, that added together give a palindrome (10522501).

The spelling of 10311200211301 in words is "ten trillion, three hundred eleven billion, two hundred million, two hundred eleven thousand, three hundred one".