1011111341310 has 192 divisors, whose sum is σ = 3024857751552. Its totient is φ = 229543227648.

The previous prime is 1011111341263. The next prime is 1011111341323. The reversal of 1011111341310 is 131431111101.

1011111341310 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 11 + 341 + 310 = 666.

It is a super-2 number, since 2×1011111341310² (a number of 25 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164861004 + ... + 164867136.

It is an arithmetic number, because the mean of its divisors is an integer number (15754467456).

Almost surely, 2^{1011111341310} is an apocalyptic number.

1011111341310 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 1011111341310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512428875776).

1011111341310 is an abundant number, since it is smaller than the sum of its proper divisors (2013746410242).

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

1011111341310 is a wasteful number, since it uses less digits than its factorization.

1011111341310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1011111341310 its reverse (131431111101), we get a palindrome (1142542452411).

The spelling of 1011111341310 in words is "one trillion, eleven billion, one hundred eleven million, three hundred forty-one thousand, three hundred ten".