11131001310 has 128 divisors (see below), whose sum is σ = 31815576576. Its totient is φ = 2456663040.

The previous prime is 11131001309. The next prime is 11131001351. The reversal of 11131001310 is 1310013111.

It is a super-2 number, since 2×11131001310² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295399 + ... + 330941.

It is an arithmetic number, because the mean of its divisors is an integer number (248559192).

Almost surely, 2^11131001310 is an apocalyptic number.

11131001310 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 11131001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907788288).

11131001310 is an abundant number, since it is smaller than the sum of its proper divisors (20684575266).

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

11131001310 is a wasteful number, since it uses less digits than its factorization.

11131001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35650.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11131001310 its reverse (1310013111), we get a palindrome (12441014421).

It can be divided in two parts, 1 and 1131001310, that added together give a palindrome (1131001311).

The spelling of 11131001310 in words is "eleven billion, one hundred thirty-one million, one thousand, three hundred ten".