1011013011112 has 128 divisors (see below), whose sum is σ = 2112793673760. Its totient is φ = 450525265920.

The previous prime is 1011013011103. The next prime is 1011013011121. The reversal of 1011013011112 is 2111103101101.

It is an interprime number because it is at equal distance from previous prime (1011013011103) and next prime (1011013011121).

It can be written as a sum of positive squares in 16 ways, for example, as 130729972356 + 880283038756 = 361566^2 + 938234^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1011013011092 and 1011013011101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342366628 + ... + 342369580.

Almost surely, 2^{1011013011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011013011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056396836880).

1011013011112 is an abundant number, since it is smaller than the sum of its proper divisors (1101780662648).

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

1011013011112 is a wasteful number, since it uses less digits than its factorization.

1011013011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1011013011112 its reverse (2111103101101), we get a palindrome (3122116112213).

The spelling of 1011013011112 in words is "one trillion, eleven billion, thirteen million, eleven thousand, one hundred twelve".