10011131220310 has 128 divisors (see below), whose sum is σ = 20499797260800. Its totient is φ = 3486607488000.

The previous prime is 10011131220163. The next prime is 10011131220319. The reversal of 10011131220310 is 1302213111001.

It is a happy number.

It is a super-2 number, since 2×10011131220310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011131220319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1759731946 + ... + 1759737634.

It is an arithmetic number, because the mean of its divisors is an integer number (160154666100).

Almost surely, 2^{10011131220310} is an apocalyptic number.

10011131220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011131220310 is an abundant number, since it is smaller than the sum of its proper divisors (10488666040490).

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

10011131220310 is a wasteful number, since it uses less digits than its factorization.

10011131220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078.

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

Adding to 10011131220310 its reverse (1302213111001), we get a palindrome (11313344331311).

It can be divided in two parts, 1001 and 1131220310, that added together give a palindrome (1131221311).

The spelling of 10011131220310 in words is "ten trillion, eleven billion, one hundred thirty-one million, two hundred twenty thousand, three hundred ten".