11311130021310 has 336 divisors, whose sum is σ = 35536390718400. Its totient is φ = 2583475316352.

The previous prime is 11311130021299. The next prime is 11311130021329. The reversal of 11311130021310 is 1312003111311.

11311130021310 is a `hidden beast` number, since 1 + 1 + 31 + 1 + 1 + 300 + 21 + 310 = 666.

It is a super-2 number, since 2×11311130021310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 510442011 + ... + 510464169.

Almost surely, 2^{11311130021310} is an apocalyptic number.

11311130021310 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 11311130021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768195359200).

11311130021310 is an abundant number, since it is smaller than the sum of its proper divisors (24225260697090).

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

11311130021310 is a wasteful number, since it uses less digits than its factorization.

11311130021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23627 (or 23605 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11311130021310 its reverse (1312003111311), we get a palindrome (12623133132621).

The spelling of 11311130021310 in words is "eleven trillion, three hundred eleven billion, one hundred thirty million, twenty-one thousand, three hundred ten".