1011213000000 has 882 divisors, whose sum is σ = 4216380756198. Its totient is φ = 231033600000.

The previous prime is 1011212999989. The next prime is 1011213000013. The reversal of 1011213000000 is 3121101.

It can be written as a sum of positive squares in 7 ways, for example, as 991155642624 + 20057357376 = 995568^2 + 141624^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 125 ways as a sum of consecutive naturals, for example, 440998854 + ... + 441001146.

Almost surely, 2^{1011213000000} is an apocalyptic number.

1011213000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108190378099).

1011213000000 is an abundant number, since it is smaller than the sum of its proper divisors (3205167756198).

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

1011213000000 is an frugal number, since it uses more digits than its factorization.

1011213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1011213000000 its reverse (3121101), we get a palindrome (1011216121101).

It can be divided in two parts, 101121 and 3000000, that added together give a square (3101121 = 1761²).

The spelling of 1011213000000 in words is "one trillion, eleven billion, two hundred thirteen million", and thus it is an aban number.