11201313322031 has 64 divisors (see below), whose sum is σ = 13713612976128. Its totient is φ = 8942998192128.

The previous prime is 11201313322027. The next prime is 11201313322039. The reversal of 11201313322031 is 13022331310211.

It is not a de Polignac number, because 11201313322031 - 2² = 11201313322027 is a prime.

It is a super-2 number, since 2×11201313322031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201313321988 and 11201313322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201313322039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407944655 + ... + 407972111.

It is an arithmetic number, because the mean of its divisors is an integer number (214275202752).

Almost surely, 2^{11201313322031} is an apocalyptic number.

11201313322031 is a deficient number, since it is larger than the sum of its proper divisors (2512299654097).

11201313322031 is a wasteful number, since it uses less digits than its factorization.

11201313322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11201313322031 its reverse (13022331310211), we get a palindrome (24223644632242).

The spelling of 11201313322031 in words is "eleven trillion, two hundred one billion, three hundred thirteen million, three hundred twenty-two thousand, thirty-one".