1020111311310 has 192 divisors, whose sum is σ = 3091217375232. Its totient is φ = 213537026304.

The previous prime is 1020111311287. The next prime is 1020111311321. The reversal of 1020111311310 is 131131110201.

It is a super-2 number, since 2×1020111311310² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020111311310.

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 95 ways as a sum of consecutive naturals, for example, 2216809 + ... + 2637131.

It is an arithmetic number, because the mean of its divisors is an integer number (16100090496).

Almost surely, 2^{1020111311310} is an apocalyptic number.

1020111311310 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 1020111311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545608687616).

1020111311310 is an abundant number, since it is smaller than the sum of its proper divisors (2071106063922).

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

1020111311310 is a wasteful number, since it uses less digits than its factorization.

1020111311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420487 (or 420480 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1020111311310 its reverse (131131110201), we get a palindrome (1151242421511).

The spelling of 1020111311310 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred ten".